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Emelyanov, Eduard Yur'evich

Total publications: 73 (72)
in MathSciNet: 63 (62)
in zbMATH: 60 (59)
in Web of Science: 37 (37)
in Scopus: 40 (40)
Cited articles: 45
Citations: 217

Number of views:
This page:3577
Abstract pages:5514
Full texts:2030
References:727
Head Scientist Researcher
Doctor of physico-mathematical sciences (2004)
Speciality: 01.01.01 (Real analysis, complex analysis, and functional analysis)
E-mail:
Keywords: vector lattice, positive operator, nonstandard hull.
UDC: 517.95, 517.955.4, 517.98, 517.982, 517.986.7, 517.983.23, 517.987.5

Subject:

functional analysis, operator theory, nonstandard analysis

   
Main publications:
  1. Emelʹyanov, E. Yu.; Kohler, U.; Räbiger, F.; Wolff, M. P. H., “Stability and almost periodicity of asymptotically dominated semigroups of positive operators”, Proc. Amer. Math. Soc., 129:9 (2001), 2633-2642
  2. Eduard Yu. Emel'yanov, Manfred P. H. Wolff, “Positive operators on Banach spaces ordered by strongly normal cones. Positivity and its applications”, Positivity, 7 (2003), 3-22
  3. Eduard Yu. Emel'yanov, Non-spectral asymptotic analysis of one-parameter operator semigroups., Operator Theory: Advances and Applications, 173, Birkhäuser Verlag, Basel, 2007
  4. Aydın, A.; Emelyanov, E. Yu.; Erkurşun Özcan, N.; Marabeh, M. A. A., “Compact-like operators in lattice-normed spaces”, Indag. Math. (N.S.), 29:2 (2018), 633-656
  5. Aydın, Abdullah; Emelyanov, Eduard; Gorokhova, Svetlana, “Full lattice convergence on Riesz spaces”, Indag. Math. (N.S.), 32:3 (2021), 658-690

https://www.mathnet.ru/eng/person28619
List of publications on Google Scholar
https://zbmath.org/authors/ai:emelyanov.eduard-yurevich
https://mathscinet.ams.org/mathscinet/MRAuthorID/353198

List of publications:
| scientific publications | by years | by types | by times cited | common list |


Citations (Crossref Cited-By Service + Math-Net.Ru)

   2025
1. E. Emelyanov, “On compact KB operators in Banach lattices”, Positivity, 29:1 (2025), N 15  crossref  isi

   2024
2. E. Emelyanov, S. Gorokhova, “Free uniformly complete vector lattices”, Positivity, 28:4 (2024), N 48  crossref  isi  elib  scopus
3. S. Alpay, E. Emelyanov, S. Gorokhova, “Enveloping norms of regularly P-operators in Banach lattices”, Positivity, 28:3 (2024), N 37  crossref  isi  elib  scopus
4. S. Alpay, E. Emelyanov, “Duality and norm completeness in the classes of limitedly Lwc and Dunford–Pettis Lwc operators”, Turkish Journal of Mathematics, 48:2 (2024), 267–278  crossref  isi  elib  scopus

   2023
5. E. Emelyanov, “Relative uniform convergence in vector lattices: odds and ends”, Journal of Mathematical Sciences (United States), 271:6 (2023), 733–742  crossref  elib  scopus 1
6. E. Emelyanov, S. Gorokhova, “Operators affiliated to Banach lattice properties and their enveloping norms”, Turkish Journal of Mathematics, 6:47 (2023), 1659–1673 https://journals.tubitak.gov.tr/math/vol47/iss6/5 (Number of article 5)  crossref  isi  elib  scopus
7. S. G. Gorokhova, E. Y. Emelyanov, “On operators dominated by the Kantorovich-Banach and Levi operators in locally solid lattices”, Siberian Mathematical Journal, 64:3 (2023), 720–724 https://sciact.math.nsc.ru/file/article_file/2124 (Angliiskaya versiya stati “Ob operatorakh, mazhoriruemykh operatorami Kantorovicha - Banakha i operatorami Levi v lokalno solidnykh reshetkakh” opublikovannoi vo Vladikavkazskom matematicheskom zhurnale (Vladikavkaz Mathematical Journal). 2022. T.24. #3. S.55-61.)  crossref  isi  elib  scopus

   2022
8. Ş. Alpay, E. Emelyanov, S. Gorokhova, “$o\tau$-continuous, Lebesgue, KB, and Levi operators between vector lattices and topological vector spaces”, Result. Math., 77:3 (2022)  crossref  zmath  scopus 2
9. S. G. Gorokhova, E. Yu. Emelyanov, “On operators dominated by Kantorovich–Banach operators and Lévy operators in locally solid lattices”, Vladikavkaz Mathematical Journal, 24:3 (2022), 55–61  mathnet  crossref  mathscinet  elib  scopus

   2021
10. A. Aydin, E. Emelyanov, S. Gorokhova, “Full lattice convergence on Riesz spaces”, Indag. Math. (N.S.), 32:3 (2021), 658–690  crossref  mathscinet  zmath  elib  scopus 12
11. Ş. Alpay, E. Emelyanov, S. Gorokhova, “Bibounded uo-convergence and b-property in vector lattices”, Positivity, 25:5 (2021), 1677–1684  crossref  mathscinet  zmath  elib  scopus 1
12. E. Yu. Emelyanov, M. A. A. Marabeh, “On the Brezis–Lieb Lemma and Its Extensions”, Operator Theory and Differential Equations. Selected papers based on the presentations at the 15th conference on order analysis and related problems of mathematical modeling, Vladikavkaz, Russia, July 15–20, 2019, Trends in Mathematics, eds. Kusraev, Anatoly G., Birkhäuser/Springer, 2021, 25–35  crossref  mathscinet  zmath  elib  scopus 1
13. E. Yu. Emelyanov, “On the domination problem for Lebesgue, KB, and Levi operators”, Poryadkovyi analiz i smezhnye voprosy matematicheskogo modelirovaniya. Teoriya operatorov i differentsialnye uravneniya. tezisy dokladov XVI Mezhdunarodnoi nauchnoi konferentsii. (Vladikavkaz, 2021), Yuzhnyi matematicheskii institut Vladikavkazskogo nauchnogo tsentra Rossiiskoi akademii nauk i Pravitelstva Respubliki Severnaya Osetiya-Alaniya, Vladikavkaz, 2021, 31–32  elib

   2020
14. E. Yu. Emelyanov, M. A. A. Marabeh, “Internal characterization of Brezis-Lieb spaces”, Positivity, 24:3 (2020), 585–592  crossref  mathscinet  zmath  elib  scopus 2
15. Y. A. Dabboorasad, E. Emelyanov, M. A. A. Marabeh, “Order convergence is not topological in infinite-dimensional vector lattices”, Uzbek Math. J., 2020, no. 1, 159–166  crossref  mathscinet  zmath 11

   2019
16. E. Y. Emelyanov, S. G. Gorokhova, S. S. Kutateladze, “Unbounded order convergence and the Gordon theorem”, Vladikavk. matem. zhurn., 21:4 (2019), 56–62  mathnet  crossref  mathscinet  zmath  elib  scopus 2
17. A. Ayd{\i}n, E. Emelyanov, N. Erkurşun Özcan, M. A. A. Marabeh, “Unbounded p-convergence in lattice-normed vector lattices”, Siberian Advances in Mathematics, 29 (2019), 164–182  crossref  mathscinet  zmath  elib  scopus 7

   2018
18. A. M. Dabboorasad, E. Yu. Emelyanov, “Unbounded convergence in the convergence vector lattices: a survey”, Vladikavk. matem. zhurn., 20:2 (2018), 49–56  mathnet  crossref  mathscinet  zmath  elib 3
19. A. Aydin, E. Emelyanov, N. Erkurşun Özcan, M. A. A. Marabeh, “Compact-like operators in lattice-normed spaces”, Indag. Math. (N.S.), 29:2 (2018), 633–656  crossref  mathscinet  zmath  isi  elib  scopus 15
20. Y. A. Dabboorasad, E. Yu. Emelyanov, M. A. A. Marabeh, “um-Topology in multi-normed vector lattices”, Positivity, 22:2 (2018), 653–667  crossref  mathscinet  zmath  isi  scopus 5
21. E. Emelyanov, N. Erkurşun Özcan, S. Gorokhova, “Komlós properties in Banach lattices”, Acta Mathematica Hungarica, 155:2 (2018), 324–331  crossref  mathscinet  zmath  isi  elib  scopus 5
22. Y. A. Dabboorasad, E. Emelyanov, M. A. A. Marabeh, “uτ-convergence in locally solid vector lattices”, Positivity, 22:4 (2018), 1065–1080  crossref  mathscinet  zmath  isi  elib  scopus 12

   2017
23. E. Yu. Emelyanov, “Archimedean cones in vector spaces”, Convex Anal., 24:1 (2017), 169–183  mathscinet  zmath  isi  elib  scopus

   2016
24. E. Emelyanov, H. Gül, “Nonstandard hulls of ordered vector spaces”, Positivity, 20:2 (2016), 413–433  crossref  mathscinet  zmath  isi  scopus 1
25. E. Yu. Emelyanov, M. A. A. Marabeh, “Two measure-free versions of the Brezis–Lieb lemma.”, Vladikavkaz. Mat. Zh., 18:1 (2016), 21–25  mathnet  crossref  mathscinet  zmath  elib 9
26. E. Yu. Emelyanov, “Arkhimedizatsiya uporyadochennykh vektornykh prostranstv”, Matematicheskii forum (Itogi nauki. Yug Rossii), 10:1 (2016), 13–21  elib

   2015
27. A. E. Gutman, E. Yu. Emelyanov, A. V. Matyukhin, “Nezamknutye arkhimedovy konusy v lokalno vypuklykh prostranstvakh”, Vladikavk. matem. zhurn., 17:3 (2015), 36–43  mathnet  crossref  mathscinet  zmath  elib 3

   2014
28. E. Yu. Emelyanov, “Beskonechno malye v poluuporyadochennykh prostranstvakh”, Matematicheskii forum (Itogi nauki. Yug Rossii), 8:1 (2014), 43–56  elib

   2013
29. E. Yu. Emel'yanov, “Infinitesimals in ordered vector spaces”, Vladikavkaz. Mat. Zh., 15:1 (2013), 18–22  mathnet  crossref  mathscinet  zmath  elib 3
30. E. Yu. Emelyanov, “Erratum to: “Iinfinitesimals in ordered vector spaces””, Vladikavkaz. Mat. Zh., 15:2 (2013), 82–83  mathnet  mathscinet  zmath  elib 1

   2012
31. E. Emelyanov, N. Erkurşun Özcan, “Asymptotically absorbing nets of positive operators”, Siberian Advances in Mathematics, 22:4 (2012), 243–260  crossref  mathscinet  zmath  elib  scopus 1

   2011
32. E. Yu. Emelyanov, “On quasi-compactness of operator nets on Banach spaces”, Stud. Math., 2011, no. 2, 163–170  crossref  mathscinet  zmath  isi  elib  scopus 2
33. E. Yu. Emelyanov, “Asymptotically finite dimensional operators in Banach spaces. Recent developments and open problems”, Matematicheskii forum (Itogi nauki. Yug Rossii), 5 (2011), 57–62  elib

   2010
34. E. Yu. Emel'yanov, “Asymptotic behavior of Lotz–Räbiger and martingale nets”, Siberian Math. J., 51:5 (2010), 810–817  mathnet  crossref  mathscinet  zmath  isi  elib  elib  scopus
35. E. Yu. Emelyanov, R. Zaharopol, “Convergence of Lotz-Räbiger nets of operators on spaces of continuous functions”, Rev. Roum. Math. Pures Appl., 55:1 (2010), 1–26  mathscinet  zmath  isi
36. E. Emelyanov, N. Erkurşun Özcan, “Lotz-Räbiger’s nets of Markov operators in $L^1$-spaces”, J. Math. Anal. Appl., 371:2 (2010), 777–783  crossref  mathscinet  zmath  isi  scopus 6

   2009
37. E. Emelyanov, N. Erkurşun Özcan, “An extension of Sine’s counterexample”, Positivity, 13:1 (2009), 125–127  crossref  mathscinet  zmath  isi  scopus 1

   2007
38. E. Yu. Emel'yanov, N. Erkursun, “Generalization of Eberlein's and Sine's ergodic theorems to $LR$-nets”, Vladikavkaz. Mat. Zh. Journal Profile, 9:3 (2007), 22–26  mathnet  mathscinet  zmath  elib 14
39. E. Yu. Emelyanov, Non-spectral asymptotic analysis of one-parameter operator semigroups, Operator Theory: Advances and Applications, 173, Birkhäuser, Basel, 2007 , viii, 174 pp.  mathscinet  zmath

   2006
40. Ş. Alpay, A. Binhadjah, E. Yu, Emelyanov, Z. Ercan, “Mean ergodicity of positive operators in KB-spaces”, J. Math. Anal. Appl., 323:1 (2006), 371–378  crossref  mathscinet  zmath  isi  elib  scopus 4
41. E. Yu. Emelyanov, “Positive asymptotically regular operators in L1-spaces and KB-spaces”, Proceedings of the conference “Positivity IV—Theory and Applications” (Dresden, Germany, July 25–29, 2005), ISBN 3-86005-512-7/pbk, eds. Weber, Martin R., TU Dresden, Institut für Analysis, Dresden, 2006, 53–61  mathscinet  zmath
42. Ş. Alpay, E. Yu, Emelyanov, A. Binhadjah, “A positive doubly power bounded operator with a nonpositive inverse exists on any infinite-dimensional AL-space”, Positivity, 10:1 (2006), 105–110  crossref  mathscinet  zmath  isi  elib  scopus 1
43. E. Yu. Emelyanov, M. P. H. Wolff, “Asymptotic behavior of Markov semigroups on preduals of von Neumann algebras”, J. Math. Anal. Appl., 314:2 (2006), 749–763  crossref  mathscinet  zmath  elib  scopus 7

   2005
44. E. Yu. Emel'yanov, “Some open questions on positive operators in Banach lattices”, Vladikavkaz. Mat. Zh., 7:4 (2005), 17–21  mathnet  mathscinet  zmath  elib

   2004
45. E. Yu. Emel'yanov, “Regularity Conditions for Markov Semigroups on Abstract $L^1$-Spaces”, Siberian Adv. Math., 14:4 (2004), 1–29  mathnet  mathscinet  mathscinet  mathscinet  zmath  elib
46. E. Yu. Emelyanov, “A remark to a theorem of Yu. A. Abramovich”, Proc. Am. Math. Soc., 132:3 (2004), 781–782  crossref  mathscinet  zmath  isi  elib  scopus 2
47. E. Yu. Emelyanov, Z. Ercan, “A formula for the joint local spectral radius”, Proc. Am. Math. Soc., 132:5 (2004), 1449–1451  crossref  mathscinet  zmath  isi  elib  scopus
48. Ş. Alpay, E. Yu, Emelyanov, Z. Ercan, “A characterization of an order ideal in Riesz spaces”, Proc. Am. Math. Soc., 132:12 (2004), 3627–3628  crossref  mathscinet  zmath  isi  elib  scopus 1
49. E. Yu. Emelyanov, M. P. H. Wolff, “Mean lower bounds for Markov operators”, Ann. Pol. Math., 83:1 (2004), 11–19  crossref  mathscinet  zmath 7

   2003
50. È. Yu. Emel'yanov, “Some conditions for a $C_0$-semigroup to be asymptotically finite-dimensional”, Siberian Math. J., 44:5 (2003), 793–796  mathnet  crossref  mathscinet  zmath  isi  elib  scopus
51. E. Yu. Emelyanov, M. P. H. Wolff, “Positive operators on Banach spaces ordered by strongly normal cones”, Positivity, 7:1–2 (2003), 3–22  crossref  mathscinet  zmath  isi  elib  scopus 18
52. E. Yu. Emelyanov, M. P. H. Wolff, “Asymptotic behaviour of Markov semigroups on non commutative $L^1$-spaces”, Quantum probability and infinite-dimensional analysis. Proceedings of the conference (Burg, (Spreewald) Germany, March 15–20, 2001), Quantum Probab. White Noise Anal., 15, eds. W. Freudenberg, World Scientific (ISBN 981-238-288-7/hbk), River Edge, NJ, 2003, 77–83  mathscinet  zmath
53. E. Yu. Emelyanov, “Invariant densities and mean ergodicity of Markov operators”, Isr. J. Math., 136 (2003), 373–379  crossref  mathscinet  zmath  isi  elib  scopus 3

   2002
54. E. Yu. Emelyanov, M. P. H. Wolff, “Quasi constricted linear representations of abelian semigroups on Banach spaces”, Math. Nachr., 2002, no. 233–234, 103–110  crossref  mathscinet  zmath  isi  elib  scopus

   2001
55. E. Yu. Emelyanov, U. Kohler, F. Räbiger, M. P. H. Wolff, “Stability and almost periodicity of asymptotically dominated semigroups of positive operators”, Proc. Am. Math. Soc., 129:9 (2001), 2633–2642  crossref  mathscinet  zmath  isi 8
56. E. Yu. Emelyanov, M. P. H. Wolff, “Quasi-constricted linear operators on Banach spaces”, Stud. Math., 144:2 (2001), 169–179  crossref  mathscinet  zmath  isi  elib  scopus 8

   2000
57. E. Yu. Emelyanov, F. Räbiger, M. P. H. Wolff, “Asymptotic behavior of positive operators on Banach lattices”, Positivity, 4:3 (2000), 245–251  crossref  mathscinet  zmath  isi  elib  scopus 1
58. E. Yu. Emelyanov, “Infinitesimals in vector lattices”: A. E. Gutman, E. Yu. Emel’yanov, A. G. Kusraev, G. A. Losenkov, A. V. Koptev, S. A. Malyugin,, Nonstandard analysis and vector lattices, Updated translation of the Russian original, Math. Appl., 525, eds. S. S. Kutateladze, Kluwer Acad. Publ., Dordrecht, 2000, 161–230  mathscinet  zmath

   1999
59. S. G. Gorokhova, È. Yu. Emel'yanov, “A Sufficient Condition for Order Boundedness of an Attractor for a Positive Mean Ergodic Operator in a Banach Lattice”, Siberian Adv. Math., 9:3 (1999), 78–85  mathnet  mathscinet  mathscinet  zmath
60. E. Yu. Emelyanov, M. P. H. Wolff, “Mean ergodicity on Banach lattices and Banach spaces”, Arch. Math., 72:3 (1999), 214–218  crossref  mathscinet  zmath  isi  elib  scopus 6
61. A. E. Gutman, E. Yu. Emelyanov, A. G. Kusraev, S. S. Kutateladze, Nestandartnyi analiz i vektornye reshetki, Izdatelstvo Instituta matematiki SO RAN, Novosibirsk, 1999 , x, 379 pp.  zmath

   1997
62. È. Yu. Emel'yanov, “Invariant homomorphisms of nonstandard extensions of Boolean algebras and vector lattices”, Siberian Math. J., 38:2 (1997), 244–252  mathnet  crossref  mathscinet  zmath  isi  isi  scopus
63. E. Yu. Emelyanov, “Banach lattices on which every power-bounded operator is mean ergodic”, Positivity, 1:4 (1997), 291–295  crossref  mathscinet  zmath  isi  elib  scopus 1
64. E. Yu. Emelyanov, “Invariant homomorphisms of nonstandard enlargements of Boolean algebras and vector lattices”, Siberian conference on applied and industrial mathematics dedicated to the memory of L. V. Kantorovich. Vol. 1. Novosibirsk (Russia), July 25–29, 1994, eds. Bokut’, L. A. (ed.) et al., Izdatel’stvo Instituta Matematiki SO RAN, Novosibirsk, 1997, 117–125  zmath
65. E. Yu. Emelyanov, “Some aspects of the theory of bounded groups of operators in Banach spaces”, Siberian Adv. Math., 7:1 (1997), 26–31  mathscinet

   1996
66. E. Yu. Emelyanov, “Infinitesimal analysis and vector lattices”, Sib. Adv. Math., 6:1 (1996), 19–70  mathscinet  zmath

   1995
67. È. Yu. Emel'yanov, “An infinitesimal approach to the representation of vector lattices by spaces of continuous functions on a compactum”, Dokl. Akad. Nauk, 344:1 (1995), 9–11  mathnet  mathscinet  zmath
68. E. Yu. Emelyanov, “Order hulls of vector lattices”, Dokl. Math., 51:1 (1995), 54–55  mathnet  mathscinet  mathscinet  zmath
69. È. Yu. Emel'yanov, “Banach–Kantorovich spaces associated with the order hulls of decomposable lattice-normed spaces”, Siberian Math. J., 36:1 (1995), 66–77  mathnet  crossref  mathscinet  zmath  isi

   1994
70. È. Yu. Emel'yanov, “The order and regular hulls of Riesz spaces”, Siberian Math. J., 35:6 (1994), 1101–1108  mathnet  crossref  mathscinet  zmath  isi
71. S. G. Gorokhova, È. Yu. Emel'yanov, “On the notion of stability of order convergence in vector lattices”, Siberian Math. J., 35:5 (1994), 912–916  mathnet  crossref  mathscinet  zmath  isi
72. È. Yu. Emel'yanov, “Nonstandard hulls of vector lattices”, Siberian Math. J., 35:1 (1994), 77–87  mathnet  crossref  mathscinet  zmath  isi

   1993
73. E. Yu. Emelyanov, “Ob obraze vektornykh mer Leba”, Optimizatsiya, 52:69 (1993), 59–73  crossref  mathscinet  zmath

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