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Helemskii, Alexander Yakovlevich
Statistics Math-Net.Ru
Total publications: 36
Scientific articles: 31
Presentations: 32

Number of views:
This page:6422
Abstract pages:14225
Full texts:6144
References:1201

https://www.mathnet.ru/eng/person8551
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List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/210574

Publications in Math-Net.Ru Citations
2018
1. A. Ya. Helemskii, “Multi-normed spaces based on non-discrete measures and their tensor products”, Izv. RAN. Ser. Mat., 82:2 (2018),  194–216  mathnet  mathscinet  elib; Izv. Math., 82:2 (2018), 428–449  isi  scopus 3
2014
2. A. Ya. Khelemskii, “Tensor Products and Multipliers of Modules $L_p$ on Locally Compact Measure Spaces”, Mat. Zametki, 96:3 (2014),  450–469  mathnet  mathscinet  zmath  elib; Math. Notes, 96:3 (2014), 432–447  isi  elib  scopus 2
2013
3. A. Ya. Helemskii, “Metric freeness and projectivity for classical and quantum normed modules”, Mat. Sb., 204:7 (2013),  127–158  mathnet  mathscinet  zmath  elib; Sb. Math., 204:7 (2013), 1056–1083  isi  elib  scopus 15
2008
4. A. Ya. Helemskii, “Nonmatricial Version of the Arveson–Wittstock Extension Principle, and Its Generalization”, Funktsional. Anal. i Prilozhen., 42:3 (2008),  63–70  mathnet  mathscinet  zmath  elib; Funct. Anal. Appl., 42:3 (2008), 213–219  isi  scopus
2007
5. A. Ya. Helemskii, “Projective modules in the classical and quantum functional analysis”, Fundam. Prikl. Mat., 13:7 (2007),  7–84  mathnet  mathscinet  zmath  elib; J. Math. Sci., 159:5 (2009), 600–652  elib  scopus 3
2006
6. A. Ya. Helemskii, “Quantum versions of vector quality and exponential law in the frame-work of the non-matricial approach”, Mat. Sb., 197:12 (2006),  133–156  mathnet  mathscinet  zmath  elib; Sb. Math., 197:12 (2006), 1841–1863  isi  elib  scopus 1
2000
7. A. Ya. Helemskii, M. E. Polyakov, “Description of morphisms from a Hilbert module over a $C^*$-algebra into this algebra”, Mat. Zametki, 68:4 (2000),  560–567  mathnet  mathscinet  zmath; Math. Notes, 68:4 (2000), 481–487  isi 1
1997
8. A. Ya. Helemskii, “The structure of a $C^*$-algebra and its supply of projective Hilbert modules”, Uspekhi Mat. Nauk, 52:4(316) (1997),  221–222  mathnet  mathscinet  zmath; Russian Math. Surveys, 52:4 (1997), 834–835  isi  scopus
9. A. Ya. Helemskii, “Approximately finite-dimensional $C^*$-algebras with projective Hilbert modules, their Bratteli diagrams, and $K_0$-groups”, Mat. Sb., 188:10 (1997),  131–148  mathnet  mathscinet  zmath; Sb. Math., 188:10 (1997), 1543–1560  isi  scopus 2
1995
10. A. Ya. Helemskii, “Homological characterization of factors of type I”, Dokl. Akad. Nauk, 344:4 (1995),  454–456  mathnet  mathscinet  zmath 3
1991
11. A. Ya. Helemskii, “Banach cyclic (co)homology as Banach derived functors”, Algebra i Analiz, 3:5 (1991),  213–228  mathnet  mathscinet  zmath; St. Petersburg Math. J., 3:5 (1992), 1149–1164 3
1989
12. A. Ya. Helemskii, “The homological essence of Connes amenability: injectivity of the predual bimodule”, Mat. Sb., 180:12 (1989),  1680–1690  mathnet  mathscinet  zmath; Math. USSR-Sb., 68:2 (1991), 555–566  isi 17
1984
13. A. Ya. Helemskiĭ, “Flat Banach modules and amenable algebras”, Tr. Mosk. Mat. Obs., 47 (1984),  179–218  mathnet  mathscinet  zmath 7
14. O. S. Ogneva, A. Ya. Helemskii, “Homological dimensions of certain algebras of principal (test) functions”, Mat. Zametki, 35:2 (1984),  177–187  mathnet  mathscinet  zmath; Math. Notes, 35:2 (1984), 93–99  isi
1981
15. A. Ya. Helemskii, “Homological methods in Taylor's holomorphic calculus of several operators in a Banach space”, Uspekhi Mat. Nauk, 36:1(217) (1981),  127–172  mathnet  mathscinet  zmath; Russian Math. Surveys, 36:1 (1981), 139–192  isi 7
1979
16. A. Ya. Helemskii, M. V. Sheinberg, “Amenable Banach algebras”, Funktsional. Anal. i Prilozhen., 13:1 (1979),  42–48  mathnet  mathscinet  zmath; Funct. Anal. Appl., 13:1 (1979), 32–37 6
1977
17. A. Ya. Helemskii, “On the representation of differentiations by Hamiltonians, operating from an algebra of local observable spin systems”, Mat. Zametki, 21:1 (1977),  93–98  mathnet  mathscinet  zmath; Math. Notes, 21:1 (1977), 51–54
1972
18. A. Ya. Helemskii, “A locally compact group algebra having trivial two-dimensional Banach cohomology groups is compact”, Dokl. Akad. Nauk SSSR, 203:5 (1972),  1004–1007  mathnet  mathscinet  zmath 1
19. Ya. G. Sinai, A. Ya. Helemskii, “Description of differentiations in algebras of the type of locally observable spin system algebras”, Funktsional. Anal. i Prilozhen., 6:4 (1972),  99–100  mathnet  mathscinet  zmath; Funct. Anal. Appl., 6:4 (1972), 343–344 10
20. A. Ya. Helemskii, “Global dimension of a Banach function algebra is different from unity”, Funktsional. Anal. i Prilozhen., 6:2 (1972),  95–96  mathnet  mathscinet  zmath; Funct. Anal. Appl., 6:2 (1972), 166–168 8
21. A. Ya. Helemskii, “On a method for calculating and estimating the global homological dimension of Banach algebras”, Mat. Sb. (N.S.), 87(129):1 (1972),  122–135  mathnet  mathscinet  zmath; Math. USSR-Sb., 16:1 (1972), 125–138 16
1971
22. A. Ya. Helemskii, “The torsion product of modules over Banach algebras”, Funktsional. Anal. i Prilozhen., 5:1 (1971),  95–96  mathnet  mathscinet  zmath; Funct. Anal. Appl., 5:1 (1971), 84–86 7
1970
23. A. Ya. Helemskii, “A description of the relatively projective ideals in the algebras $C(\Omega)$”, Dokl. Akad. Nauk SSSR, 195:6 (1970),  1286–1289  mathnet  mathscinet  zmath 3
24. A. Ya. Helemskii, “Homological dimension of Banach algebras of analytic functions”, Mat. Sb. (N.S.), 83(125):2(10) (1970),  222–233  mathnet  mathscinet  zmath; Math. USSR-Sb., 12:2 (1970), 221–233 9
25. A. Ya. Helemskii, “On the homological dimension of normed modules over Banach algebras”, Mat. Sb. (N.S.), 81(123):3 (1970),  430–444  mathnet  mathscinet  zmath; Math. USSR-Sb., 10:3 (1970), 399–411 29
1969
26. A. Ya. Helemskii, “The connections between the structure of certain nilpotent associative algebras and the structure of their lattice ideals”, Dokl. Akad. Nauk SSSR, 187:3 (1969),  521–524  mathnet  mathscinet  zmath
27. A. Ya. Helemskii, “Singular extensions of the algebra of all continuous functions on a compactum”, Sibirsk. Mat. Zh., 10:3 (1969),  671–684  mathnet  mathscinet  zmath; Siberian Math. J., 10:3 (1969), 487–496 2
1967
28. A. Ya. Khelemskii, “Example of a compactum, not an $F$-space, but having a uniqueness property”, Mat. Zametki, 1:6 (1967),  735–740  mathnet  mathscinet  zmath; Math. Notes, 1:6 (1967), 484–487
1966
29. A. Ya. Helemskii, “On a certain analytic condition for the radical of a commutative Banach algebra and associated decomposability problems”, Dokl. Akad. Nauk SSSR, 167:3 (1966),  525–527  mathnet  mathscinet  zmath
1965
30. A. Ya. Helemskii, “Annihilator extensions of commutative Banach algebras”, Izv. Akad. Nauk SSSR Ser. Mat., 29:4 (1965),  945–956  mathnet  mathscinet  zmath 3
1964
31. A. Ya. Helemskii, “A description of annihilator commutative Banach algebras”, Dokl. Akad. Nauk SSSR, 157:1 (1964),  60–62  mathnet  mathscinet  zmath 1
2022
32. O. N. Ageev, Ya. B. Vorobets, B. Weiss, R. I. Grigorchuk, V. Z. Grines, B. M. Gurevich, L. S. Efremova, A. Yu. Zhirov, E. V. Zhuzhoma, B. S. Kashin, V. N. Kolokoltsov, A. V. Kochergin, L. M. Lerman, I. V. Mykytyuk, V. I. Oseledets, A. Yu. Plakhov, O. V. Pochinka, V. V. Ryzhikov, V. Zh. Sakbaev, A. G. Sergeev, Ya. G. Sinai, A. T. Tagi-Zade, S. V. Tikhonov, J.-P. Thouvenot, A. Ya. Helemskii, A. I. Shafarevich, “Anatolii Mikhailovich Stepin (obituary)”, Uspekhi Mat. Nauk, 77:2(464) (2022),  189–194  mathnet  mathscinet  zmath; Russian Math. Surveys, 77:2 (2022), 361–367  isi
2020
33. A. M. Astashov, I. V. Astashova, A. V. Bocharov, V. M. Buchstaber, V. A. Vassiliev, A. Verbovetsky, A. M. Vershik, A. P. Veselov, M. M. Vinogradov, L. Vitagliano, R. F. Vitolo, Th. Th. Voronov, V. G. Kac, Y. Kosmann-Schwarzbach, I. S. Krasil'shchik, I. M. Krichever, A. P. Krishchenko, S. K. Lando, V. V. Lychagin, M. Marvan, V. P. Maslov, A. S. Mishchenko, S. P. Novikov, V. N. Rubtsov, A. V. Samokhin, A. B. Sossinsky, J. Stasheff, D. B. Fuchs, A. Ya. Khelemsky, N. G. Khor'kova, V. N. Chetverikov, A. S. Schwarz, “Alexandre Mikhailovich Vinogradov (obituary)”, Uspekhi Mat. Nauk, 75:2(452) (2020),  185–190  mathnet  mathscinet  zmath; Russian Math. Surveys, 75:2 (2020), 369–375  isi
2018
34. G. G. Amosov, Al. V. Bulinski, An. V. Bulinski, V. M. Buchstaber, I. A. Ibragimov, V. P. Maslov, A. Ya. Helemskii, A. M. Chebotarev, M. E. Shirokov, A. N. Shiryaev, “Alexander Semenovich Holevo (on his 75th birthday)”, Uspekhi Mat. Nauk, 73:6(444) (2018),  199–203  mathnet  mathscinet  zmath  elib; Russian Math. Surveys, 73:6 (2018), 1131–1136  isi
1992
35. R. L. Dobrushin, A. A. Kirillov, V. A. Malyshev, Ya. G. Sinai, A. Ya. Helemskii, “Robert Adol'fovich Minlos (on his sixtieth birthday)”, Uspekhi Mat. Nauk, 47:1(283) (1992),  225–226  mathnet  mathscinet; Russian Math. Surveys, 47:1 (1992), 275–277  isi
1980
36. I. M. Gel'fand, M. I. Graev, D. P. Zhelobenko, R. S. Ismagilov, M. G. Krein, L. D. Kudryavtsev, S. M. Nikol'skii, A. Ya. Helemskii, A. V. Strauss, “Mark Aronovich Naimark (obituary)”, Uspekhi Mat. Nauk, 35:4(214) (1980),  135–140  mathnet  mathscinet  zmath; Russian Math. Surveys, 35:4 (1980), 157–164  isi 2

Presentations in Math-Net.Ru
1. Projective and free $p$-multinormed spaces and their generalizations
A. Ya. Helemskii
Algebras in Analysis
April 15, 2022 18:30
2. Проективные и свободные p-мультинормированные пространства и их обобщения
A. Ya. Helemskii
Seminar on Theory of Functions of Real Variables
April 15, 2022 18:30
3. Free and projective generalized multinormed spaces
A. Ya. Khelemskii
Noncommutative geometry and topology
November 11, 2021 16:45   
4. Free and projective generalized multinormed spaces
A. Ya. Helemskii
Mathematical Physics, Dynamical Systems and Infinite-Dimensional Analysis – 2021
July 5, 2021 11:00   
5. Существование $p$-выпуклых тензорных произведений $L_p (X)$-пространств в случае произвольной меры
A. Ya. Khelemskii
Noncommutative geometry and topology
March 18, 2021 16:45   
6. Isomorphism of categories of $p$-multinormed spaces (after T. Oikhberg)
A. Ya. Helemskii
Algebras in Analysis
February 28, 2020 18:05
7. Extremely and metrically projective Banach and normed spaces
A. Ya. Helemskii
Algebras in Analysis
March 1, 2019 18:05
8. A general framework for the $p$-convex tensor product of multinormed spaces. Part 2
A. Ya. Helemskii
Algebras in Analysis
November 23, 2018 18:05
9. A general framework for the $p$-convex tensor product of multinormed spaces
A. Ya. Helemskii
Algebras in Analysis
November 16, 2018 18:05
10. Аменабельность и алгебры мер
A. Ya. Helemskii
Seminar on Theory of Functions of Real Variables
April 20, 2018 18:30
11. Amenability and measure algebras
A. Ya. Helemskii
Algebras in Analysis
April 20, 2018 18:30
12. Некоторые нерешенные задачи теории матрично нормированных пространств
A. Ya. Helemskii
Algebras in Analysis
February 16, 2018 18:05
13. Tensor products of matricially normed spaces
A. Ya. Helemskii
Algebras in Analysis
December 1, 2017 18:05
14. p-multinormed spaces
A. Ya. Helemskii
Algebras in Analysis
November 3, 2017 18:05
15. Projectivity and freedom for general matricially normed spaces
A. Ya. Helemskii
Algebras in Analysis
May 12, 2017 18:05
16. Some examples of protoquantum nonquantum spaces
A. Ya. Helemskii
Algebras in Analysis
October 28, 2016 18:05
17. Tensor products of some protoquantum spaces
A. Ya. Helemskii
Algebras in Analysis
September 16, 2016 18:05
18. Continuous versions of $p$-multinormed spaces
A. Ya. Helemskii
Algebras in Analysis
April 15, 2016 18:05
19. Structures halfway from classical to quantum functional analysis
A. Ya. Helemskii
Algebras in Analysis
February 12, 2016 18:05
20. Structures generalizing quantum spaces, and their tensor products
A. Ya. Helemskii
Algebras in Analysis
September 4, 2015 18:05
21. Experience of the coordinate-free approach to sequential operator spaces
A. Ya. Helemskii
Algebras in Analysis
May 29, 2015 18:05
22. Experience of the coordinate-free approach to sequential operator spaces
A. Ya. Helemskii
Algebras in Analysis
May 15, 2015 18:05
23. Experience of the coordinate-free approach to sequential operator spaces
A. Ya. Helemskii
Algebras in Analysis
April 17, 2015 18:05
24. On a coordinate-free account of sequential operator spaces
A. Ya. Helemskii
Algebras in Analysis
March 20, 2015 18:05
25. Детство. Коммуналка
A. Ya. Helemskii
Memoirs of A. Ya. Helemskii
June 4, 2014   
26. Школа. Университет
A. Ya. Helemskii
Memoirs of A. Ya. Helemskii
June 4, 2014   
27. Учителя. Научная карьера
A. Ya. Helemskii
Memoirs of A. Ya. Helemskii
June 4, 2014   
28. Немножко о музыке
A. Ya. Helemskii
Memoirs of A. Ya. Helemskii
June 4, 2014   
29. О Льве Залмановиче Эйдлине и Александре Аркадьевиче Галиче
A. Ya. Helemskii
Memoirs of A. Ya. Helemskii
June 4, 2014   
30. Homological algebra for Banach modules in the spirit of V. P. Palamodov
A. Ya. Helemskii
Algebras in Analysis
March 14, 2014 18:05
31. Гомологически лучшие модули в классическом и квантовом функциональном анализе
A. Ya. Helemskii
I. M. Gelfand and Modern Mathematics
December 19, 2013 10:45   
32. Projective modules in classical and quantum functional analysis
A. Ya. Helemskii
Semigroup $C^*$-algebras and their representations
March 27, 2013 18:00   

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