Дифференцирования алгебры измеримых операторов и их подалгебр,
локальные и 2-локальные отображения ассоциативных и неассоциативных алгебр
Основные публикации:
A. F. Ber,
K. K. Kudaybergenov,
F. A. Sukochev, “Derivations of Murray–von Neumann algebras”, Journal für die reine und angewandte Mathematik (Crelles Journal), 791:10 (2022), 283–301
Sh. A. Ayupov, K. K. Kudaybergenov, “Ring isomorphisms of Murray–von Neumann algebras”, Journal of Functional Analysis, 280:5 (2021), 108891
Sh. A. Ayupov, A. Elduque, K. K. Kudaybergenov, “Local derivations and automorphisms of Cayley algebras”, Journal of Pure and Applied Algebra, 227:5 (2023), Paper No. 107277
S. Albeverio, Sh. A. Ayupov, K. K. Kudaybergenov, “Structure of derivations on various algebras of measurable operators for type I von Neumann algebras”, Journal of Functional Analysis, 256:9 (2009), 2917–2943
S. Albeverio, Sh. A. Ayupov, K. K. Kudaybergenov, “Non-commutative Arens algebras and their derivations”, Journal of Functional Analysis, 253:1 (2007), 287–302
B. L. Macedo Ferreira, I. Kaygorodov, K.K. Kudaybergenov, “Local and 2-local derivations of simple n-ary algebras”, Ricerche di Matematica, 73:1 (2024), 341-350
K. K. Kudaybergenov, B. A. Omirov, T. K. Kurbanbaev, “Local automorphisms of complex solvable Lie algebras of maximal rank”, Linear and Multilinear Algebra, 72:13 (2024), 2197-2220
3.
Sh. A. Ayupov, J. Huang, K. K. Kudaybergenov, “Schur inequality for Murray–von Neumann algebras and its applications”, Annals of Functional Analysis, 15:3 (2024), 24 (article number 47)
4.
J. Huang, K. K. Kudaybergenov, R. Liu, “The ball-covering property of noncommutative symmetric spaces”, Studia Mathematica, 277:2 (2024), 169-190
5.
Sh. A. Ayupov, K. K. Kudaybergenov, B. Yusupov, “Local and 2-local derivations of locally simple Lie algebras”, Journal of Mathematical Sciences, 278 (2024), 613-622
A. F. Ber, J. Huang, K. K. Kudaybergenov, F. A. Sukochev, “Non-existence of translation-invariant derivations on algebras of measurable functions”, Quaestiones Mathematicae, 46:5 (2023), 905-926
Sh. A. Ayupov, K. K. Kudaybergenov, A. Allambergenov, “Local and 2-local derivations on octonion algebras”, Journal of algebra and its applications, 22:7 (2023), Paper No 2350147 , 12 pp.
Sh. A. Ayupov, A. Elduque, K. K. Kudaybergenov, “Local derivations and automorphisms of Cayley algebras”, Journal of Pure and Applied Algebra, 227:5 (2023), Paper No. 107277
Sh. A. Ayupov, K. K. Kudaybergenov, “Local derivations of classical simple Lie algebras”, In: Albuquerque, H., Brox, J., Martínez, C., Saraiva, P. (eds) Non-Associative Algebras and Related Topics. NAART 2020. Springer Proceedings in Mathematics & Statistics, 427, Springer, Cham., 2023, 3–16
10.
Ш. А. Аюпов, К. К. Кудайбергенов, Х. К. Каримов, “Изоморфизм между алгеброй измеримых функций и ее подалгеброй асимптотически дифференцируемых функций”, Владикавк. матем. журн., 25:2 (2023), 25-37
11.
J. Huang, K. K. Kudaybergenov, F. A. Sukochev, “Ring derivations of Murray–von Neumann algebras”, Linear algebra and its applications, 672:1 (2023) , 28-52 pp.
К. К. Кудайбергенов, Б. О. Нуржанов, “Частичные порядки на $\ast$-регулярных кольцах”, Уфимск. матем. журн., 15:1 (2023), 35–43; K. K. Kudaybergenov, B. O. Nurjanov, “Partial orders on $\ast$-regular rings”, Ufa Math. J., 15:1 (2023), 34–42
А. Д. Арзиев, К. К. Кудайбергенов, П. Р. Орынбаев, А. К. Танирберген, “Частично интегральные операторы на пространствах Банаха–Канторовича”, Матем. заметки, 114:1 (2023), 18–37; A. D. Arziev, K. K. Kudaybergenov, P. R. Oriinbaev, A. K. Tangirbergen, “Partial Integral Operators on Banach–Kantorovich Spaces”, Math. Notes, 114:1 (2023), 15–29
Sh. A. Ayupov, K. K. Kudaybergenov, Kh. K. Karimov, “On dimension of the space of derivations on commutative regular algebras”, Journal of Mathematical Sciences, 271:6 (2023), 694-699
15.
K. К. Кудайбергенов, А. Д. Арзиев, П. Р. Орынбаев, A. K. Танирберген, “The Mercer‘s theorem for partial integral operators”, Journal of Mathematical Sciences, 271:6 (2023), 749-761
2022
16.
Sh. A. Ayupov, K. K. Kudaybergenov, B. Yusupov, “Локальные и 2-локальные дифференцирования локально простых алгебр Ли”, Современная математика. Фундаментальные направления, 68:1 (2022), 59-69
K. K. Kudaybergenov, A. D. Arziev, “The spectrum of an element in a Banach-Kantorovich algebra over a ring of measurable functions”, Advances in Operator Theory, 2022, no. 7, 1-15
I. Kaygorodov, K. K. Kudaybergenov, I. Yuldashev, “Local derivations of semisimple Leibniz algebras”, Communications in Mathematics, 30:2 (2022) , 12 pp.
20.
K. K. Kudaybergenov, B. A. Omirov, T. K.Kurbanbaev, “Local derivations on solvable Lie algebras of maximal rank”, Communications in Algebra, 50:9 (2022), 3816-3826
K. K. Kudaybergenov, “On solution of Ayupov's problem”, Bulletin of the Institute of Mathematics, 5:3 (2022), 219–233
22.
Sh. A. Ayupov, K. K. Kudaybergenov, A. Allambergenov, “Local and 2-local automorphisms on octonion algebras”, Uzbek Mathematical Journal, 66:2 (2022), 22-34
23.
A. F. Ber, K. K. Kudaybergenov, F. A. Sukochev, “Derivations of Murray–von Neumann algebras”, J. Reine Angew. Math., 791:10 (2022), 283-301
Sh. A. Ayupov, K. K. Kudaybergenov, B. Yusupov, “2-Local derivations on generalized Witt algebras”, Linear and Multilinear Algebra, 69:16 (2021), 3130-3140
Sh. A. Ayupov, K. K. Kudaybergenov, “Ring isomorphisms of *-subalgebras of Murray–von Neumann factors”, Lobachevskii Journal of Mathematics, 42:12 (2021), 2730-2739
К. К. Кудайбергенов, Ж. Х. Сейпуллаев, “Характеризация JBW-алгебр с сильно гранево симметричным предсопряженным пространством”, Матем. заметки, 107:4 (2020), 539–549; K. K. Kudaybergenov, J. Kh. Seypullaev, “Characterization of JBW-algebras with strongly facially symmetric predual space”, Math. Notes, 107:4 (2020), 600–608
Sh. A. Ayupov, K. K. Kudaybergenov, B. A. Omirov, “Local and 2-local derivations and automorphisms on simple Leibniz algebras”, Bulletin of the Malaysian Mathematical Sciences Society, 43:3 (2020), 2199–2234
29.
Sh. A. Ayupov, K. K. Kudaybergenov, B. A. Omirov, K. Zhao, “Semisimple Leibniz algebras, their derivations and automorphisms”, Linear and Multilinear Algebra, 68:10 (2020), 2005-2019
30.
Sh. A. Ayupov, K. K. Kudaybergenov, “Infinite dimensional central simple regular algebras with outer derivations”, Lobachevskii Journal of Mathematics, 41 (2020), 326-332
A. F. Ber, K. K. Kudaybergenov, F. A. Sukochev, “Notes on derivations of Murray–von Neumann algebras”, Journal of Functional Analysis, 279:5 (2020), 108
Sh. A. Ayupov, K. K. Kudaybergenov, B. Yusupov, “Local and 2-local derivations of $p$-filiform Leibniz algebras”, Journal of Mathematical Sciences, 245 (2020), 359–367
K. K. Kudaybergenov, J. X. Seypullaev, “Description of facially symmetric spaes with unitary tripotents”, Siberian Advances in Mathematics, 30:2 (2020), 2 , 117-123 pp.
34.
K. K. Kudaybergenov, “Derivations of Murray-von Neumann algebras”, Modern problems in mathematics (Nukus, 20 may 2020), KarSU, 2020, 40
2019
35.
А. Ф. Бер, К. К. Кудайбергенов, Ф. А. Сукочев, “Дифференцирования на алгебрах Мюррея–фон Неймана”, УМН, 74:5(449) (2019), 183–184; A. F. Ber, K. K. Kudaybergenov, F. A. Sukochev, “Derivations on Murray–von Neumann algebras”, Russian Math. Surveys, 74:5 (2019), 950–952
Sh. A. Ayupov, K. K. Kudaybergenov, T. S. Kalandarov, “2-Local automorphisms on $AW^\ast$-algebras.”, Positivity and Noncommutative Analysis. Trends in Mathematics, Birkhäuser, 2019, 1–13
37.
K. K.Kudaybergenov, M. Ladra, B. A.Omirov, “On Levi–Malcev theorem for Leibniz algebras”, Linear and Multilinear Algebra, 67:7 (2019), 1471-1482
Ш. А. Аюпов, К. К. Кудайбергенов, Б. Б. Юсупов, “Локальные и 2-локальные дифференцирования $p$-филиформных алгебр Лейбница”, Материалы научной конференции «Проблемы современной топологии и ее приложения», 11–12 Мая 2017 г., Ташкент, Узбекистан, Итоги науки и техн. Сер. Соврем. мат. и ее прил. Темат. обз., 144, ВИНИТИ РАН, М., 2018, 65–73; Sh. A. Ayupov, K. K. Kudaybergenov, B. B. Yusupov, “Local and $2$-Local Differentiations of $p$-Filiform Leibniz Algebras”, Journal of Mathematical Sciences, 245:3 (2020), 359–367
М. М. Ибрагимов, К. К. Кудайбергенов, Ж. Х. Сейпуллаев, “Гранево симметричные и предсопряженные эрмитовой части алгебр фон Неймана пространства”, Изв. вузов. Матем., 2018, № 5, 33–40; M. M. Ibragimov, K. K. Kudaibergenov, Zh. Kh. Seipullaev, “Facially symmetric spaces and predual ones of Hermitian part of von Neumann algebras”, Russian Math. (Iz. VUZ), 62:5 (2018), 27–33
М. М. Ибрагимов, К. К. Кудайбергенов, Ж. Х. Сейпуллаев, “Геометрическая характеризация вещественных JBW-факторов”, Владикавк. матем. журн., 20:1 (2018), 61–68
41.
Sh. A. Ayupov, K. K. Kudaybergenov, “Local automorphisms on finite dimensional Lie and Leibniz algebras”, Algebra, Complex Analysis, and Pluripotential Theory. USUZCAMP 2017. Springer Proceedings in Mathematics & Statistics, vol 264. Springer, Springer, 2018, 31–44
2017
42.
Sh. A. Ayupov, K. K. Kudaybergenov, A. K. Alauadinov, “2-Local derivations on matrix algebras and algebras of measurable operators”, Advances in Operator Theory, 2:4 (2017), 494-505
43.
K. K. Kudaybergenov, F. M. Mukhamedov, “Self-adjoint cyclically compact operators and its application”, Bulletin of the Korean Mathematical Society, 54 (2017), 679-686
2016
44.
Sh. A. Ayupov, K. K. Kudaybergenov, “Local derivations on measurable operators and commutativity”, European Journal of Mathematics, 2 (2016) , 8 pp.
J. Hamhalter, K. K. Kudaybergenov, A. M. Peralta, B. Russo, “Boundedness of completely additive measures with application to 2-local triple derivations”, Journal of Mathematical Physics, 57 (2016), 021709
Sh. A. Ayupov, K. K. Kudaybergenov, “Derivations, local and 2-local derivations on algebras of measurable operators”, Topics in Functional Analysis and Algebra, Contemporary Mathematics, 672 (2016), 51-72
49.
K. K. Kudaybergenov, F. M. Mukhamedov, “Spectral decomposition of self-adjoint cyclically compact operators and partial integral equations”, Acta Mathematica Hungarica, 149 (2016), 297–305
Sh. A. Ayupov, K. K. Kudaybergenov, “Derivations, local and 2-local derivations on algebras of measurable operators”, Functional Analysis and Algebra. Contemporary Mathematics, 672, eds. Bernard Russo, Asuman Aksoy, Ravshan Ashurov, Shavkat Ayupov, Amer. Math. Soc., Providence, RI, 2016, 51-72
51.
Sh. A. Ayupov, K. K. Kudaybergenov, A. M. Peralta, “A survey on
local and 2-local derivations on $C^*$- and von Neumann algebras”, Topics in Functional Analysis and Algebra. Contemporary Mathematics, eds. Bernard Russo, Asuman Aksoy, Ravshan Ashurov, Shavkat Ayupov, Amer. Math. Soc., Providence, RI, 2016, 73-126
K. K. Kudaybergenov, F. M. Mukhamedov, “Local Derivations on Subalgebras of τ-Measurable Operators with Respect to Semi-finite von Neumann Algebras”, Mediterranean Journal of Mathematics volume, 12 (2015), 1009–1017
54.
Sh. A. Ayupov, K. K. Kudaybergenov, “2-Local derivations on von Neumann algebras”, Positivity, 19:3 (2015), 445-455
Sh. A. Ayupov, R. Z. Abdullaev, K. K. Kudaybergenov, “On a certain class of operator algebras and their derivations”, Eurasian Math. J., 5:1 (2014), 82–94
K. K. Kudaybergenov, T. Oikhberg, A. M. Peralta, B. Russo, “2-local triple derivations on von Neumann algebras”, Illinois J. Math., 58 (2014), 1055-1069
57.
Sh. A. Ayupov, K. K. Kudaybergenov,B. O. Nurjanov, A. K. Alauadinov, “Local and 2-local derivations on noncommutative Arens algebras”, Mathematica Slovaca, 2014, 423-432
М. М. Ибрагимов, К. К. Кудайбергенов, “Геометрическое описание $L_1$-пространств”, Изв. вузов. Матем., 2013, № 9, 21–27; M. M. Ibragimov, K. K. Kudaibergenov, “Geometric description of $L_1$-spaces”, Russian Math. (Iz. VUZ), 57:9 (2013), 16–21
М. М. Ибрагимов, К. К. Кудайбергенов, С. Ж. Тлеумуратов, Ж. Х. Сейпуллаев, “Геометрическое описание предсопряженного пространства к атомической коммутативной алгебре фон Неймана”, Матем. заметки, 93:5 (2013), 728–735; M. M. Ubragimov, K. K. Kudaybergenov, S. Zh. Tleumuratov, Zh. Kh. Sejpullaev, “Geometric description of the preduals of atomic commutative von Neumann algebras”, Math. Notes, 93:5 (2013), 715–721
Sh. A. Ayupov, K. K. Kudaybergenov, A. K. Alauadinov, “2-Local derivations on matrix algebras over commutative regular algebras”, Linear Algebra and its Applications, 439:5 (2013), 1294–1311
Sh. A. Ayupov, K. K. Kudaybergenov, “Innerness of continuous derivations on algebras of measurable operators affiliated with finite von Neumann algebras”, Journal of Mathematical Analysis and Applications, 408 (2013), 256–267
Sh. A. Ayupov, K. K. Kudaybergenov, “Spatiality of derivations on the algebra of $\tau$-compact operators”, Integral Equations and Operator Theory, 77 (2013), 581-598
63.
N. Yadgorov,M. M. Ibragimov, K. K. Kudaybergenov, “Geometric characterization of $L_1$-spaces”, Studia Mathematica, 219 (2013), 97-107
64.
Sh. A. Ayupov, K. K. Kudaybergenov, A. K. Alauadinov, “2 -local derivations on algebras of locally measurable operators”, Annals of Functional Analysis, 4 (2013), 110-117
2012
65.
Sh. A. Ayupov, K. K. Kudaybergenov, “2-Local derivations and automorphisms on $B(H)$”, Journal of Mathematical Analysis and Applications, 395:1 (2012), 15–18
Sh. A. Ayupov, K. K. Kudaybergenov, R. Djumamuratov, “Topologies on central extensions of von Neumann algebras”, Central European Journal of Mathematics, 10 (2012), 656-664
67.
S. Albeverio, K. K. Kudaybergenov, R. Djumamuratov, “Conditions of coincidence of central extensions of von Neumann algebras and algebras of measurable operators”, Lobachevskii Journal of Mathematics, 33 (2012), 200-207
68.
Sh. A. Ayupov, K. K. Kudaybergenov, “Additive derivations on algebras of measurable operators”, Journal of Operator Theory, 67 (2012), 495-510
2011
69.
К. К. Кудайбергенов, К. У. Бегжанова, “Описание слабо аддитивных функционалов на плоскости, сохраняющих порядок”, Владикавк. матем. журн., 13:1 (2011), 31–37
S. Albeverio, Sh. A. Ayupov, K. K. Kudaybergenov, R. Djumamuratov, “Automorphisms of central extensions of type I von Neumann algebras”, Studia Mathematica, 207 (2011), 1-17
71.
S. Albeverio, Sh. A. Ayupov, K. K. Kudaybergenov, B. O. Nurjanov, “Local derivations on algebras of measurable operators”, Communications in Contemporary Mathematics, 13 (2011), 643-657
72.
S. Albeverio, Sh. A. Ayupov, R. Z. Abdullaev, K. K. Kudaybergenov, “Additive derivations on generalized Arens algebras”, Lobachevskii Journal of Mathematics, 32 (2011), 194-202
2010
73.
Sh. A. Ayupov, K. K. Kudaybergenov, “Derivations on algebras of measurable operators”, Infinite Dimensional Analysis, Quantum Probability and Related Topics, 2010 , 305-337 pp.
S. Albeverio, Sh. A. Ayupov, K. K. Kudaybergenov, “Structure of derivations on various algebras of measurable operators for type I von Neumann algebras”, Journal of Functional Analysis, 256:9 (2009), 2917-2943
В. И. Чилин, И. Г. Ганиев, К. К. Кудайбергенов, “Теорема Гельфанда–Наймарка для $C^*$-алгебр над кольцом измеримых функций”, Изв. вузов. Матем., 2008, № 2, 60–68; V. I. Chilin, I. G. Ganiev, K. K. Kudaibergenov, “The Gel'fand-Naĭmark theorem for $C^*$-algebras over a ring of measurable functions”, Russian Math. (Iz. VUZ), 52:2 (2008), 58–66
S. Albeverio, Sh. A. Ayupov, K. K. Kudaybergenov, “Derivations on the algebra of measurable operators affiliated with a type I von Neumann algebra”, Siberian Advances in Mathematics, 18 (2008)
S. Albeverio, Sh. A. Ayupov, K. K. Kudaybergenov, “Derivations on the algebra of $\tau$-compact operators affiliated with a type I von Neumann algebra”, Positivity, 12 (2008), 375–386
Sh. A. Ayupov, K. K. Kudaybergenov, “Innerness of derivations on subalgebras of measurable operators”, Lobachevskii Journal of Mathematics, 29 (2008), 60-67
Sh. A. Ayupov, K. K. Kudaybergenov, T. S. Kalandarov, “The involutive automorphisms of (\tau)-compact operators affiliated with a type I von Neumann algebra”, Methods Funct. Anal. Topology, 14:1 (2008), 54–59
2007
80.
Ш. А. Аюпов, К. К. Кудайбергенов, “Дифференцирования некоммутативных алгебр Аренса”, Функц. анализ и его прил., 41:4 (2007), 70–72; Sh. A. Ayupov, K. K. Kudaibergenov, “Derivations of Noncommutative Arens Algebras”, Funct. Anal. Appl., 41:4 (2007), 303–305
В. И. Чилин, И. Г. Ганиев, К. К. Кудайбергенов, “ГНС-представление $C^*$-алгебр над кольцом измеримых функций”, Владикавк. матем. журн., 9:2 (2007), 33–39
S. Albeverio, Sh. A. Ayupov, K. K. Kudaybergenov, “Non-commutative Arens algebras and their derivations”, Journal of Functional Analysis, 253:1 (2007), 287–302
Sh. A. Ayupov, K. K. Kudaybergenov, “Derivations of C*-algebras over the ring of measurable functions”, Uzbek. Mat. Zh., 50:1 (2007), 39–47
84.
Sh. A. Ayupov, K. K. Kudaybergenov, T. S. Kalandarov, “*-automorphisms of the Arens algebra associated with a von Neumann algebra of type I”, Uzbek. Mat. Zh., 50:4 (2007), 9–17
2006
85.
И. Г. Ганиев, К. К. Кудайбергенов, “Принцип равномерной ограниченности Банаха–Штейнгауза для операторов в пространствах Банаха–Канторовича над $L^0$”, Матем. тр., 9:1 (2006), 21–33; I. G. Ganiev, K. K. Kudaibergenov, “The Banach–Steinhaus uniform boundedness principle for operators in Banach–Kantorovich spaces over $L^0$”, Siberian Adv. Math., 16:3 (2006), 42–53
К. К. Кудайбергенов, “Теорема Гельфанда — Мазура для $C^*$-алгебр над кольцом измеримых функций”, Владикавк. матем. журн., 8:2 (2006), 45–49
87.
K. K. Kudaybergenov, “A measurable bundle of compact integral operators”, Uzbek. Mat. Zh., 49:1 (2006), 49–57
2005
88.
K. K. Kudaybergenov, “Measurable bundles of operators with a closed range”, Uzbek. Mat. Zh., 48:3 (2005), 54–62
2004
89.
И. Г. Ганиев, К. К. Кудайбергенов, “Теорема Банаха об обратном операторе в пространствах Банаха — Канторовича”, Владикавк. матем. журн., 6:3 (2004), 21–25
2024
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