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Helemskii, Alexander Ya.

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Author ID: helemskii.alexander-ya Recent zbMATH articles by "Helemskii, Alexander Ya."
Published as: Helemskii, A. Ya.; Helemskii, Alexander Ya.; Helemskiĭ, A. Ya.; Helemskiĭ, Alexander Ya.; Helemskiǐ, A. Ya; Khelemskii, A. Ya.; Khelemskij, A. Ya.; Khelemskiĭ, A. Ya; Khelemskiĭ, A. Ya.; Khelemsky, A. Ya.
External Links: MGP · Math-Net.Ru · Wikidata
Documents Indexed: 88 Publications since 1963, including 7 Books
all top 5

Co-Authors

73 single-authored
2 Bukhshtaber, Viktor Matveevich
2 Golovin, Yu. O.
2 Maslov, Viktor Pavlovich
2 Ogneva, O. S.
2 Shejnberg, M. V.
1 Amosov, Grigori G.
1 Astashov, A. M.
1 Astashova, Irina V.
1 Bocharov, Alexei V.
1 Bulinskiĭ, Aleksandr Vadimovich
1 Bulinskiĭ, Andreĭ Vadimovich
1 Chebotarev, Alexandr M.
1 Chetverikov, Vladimir N.
1 Dales, H. Garth
1 Fuchs, Dmitry Borisovich
1 Gamkrelidze, Revaz Valerianovich
1 Gel’fand, Israil’ Moiseevich
1 Ghahramani, Fereidoun
1 Graev, Mark Iosifovich
1 Ibragimov, Il’dar Abdullovich
1 Ismagilov, Rais Sal’manovich
1 Kac, Victor G.
1 Khenkin, Gennadiĭ Markovich
1 Khor’kova, Nina Grigor’evna
1 Kosmann-Schwarzbach, Yvette
1 Krasil’shchik, Iosif Semënovich
1 Kreĭn, Mark Grigor’evich
1 Krichever, Igor’ Moiseevich
1 Krishchenko, Alexander P.
1 Kudryavtsev, Lev Dmitrievich
1 Lando, Sergei K.
1 Lychagin, Valentin V.
1 Lykova, Zinaida A.
1 Marvan, Michal
1 Mishchenko, Aleksandr Sergeevich
1 Nikol’skiĭ, Sergeĭ Mikhaĭlovich
1 Novikov, Sergeĭ Petrovich
1 Polyakov, M. E.
1 Rubtsov, Vladimir Nikolaevich
1 Samokhin, Alexey V.
1 Schwarz, Albert S.
1 Shirokov, Maksim Evgen’evich
1 Shiryaev, Al’bert Nikolaevich
1 Shtraus, Abram Vilgelmovich
1 Sinaĭ, Yakov Grigor’evich
1 Sosinskiĭ, Alekseĭ Bronislavovich
1 Stasheff, James D.
1 Vasil’ev, Viktor Anatol’evich
1 Verbovetsky, Alexander Moiseevich
1 Vershik, Anatoliĭ Moiseevich
1 Veselov, Alexander Petrovich
1 Vinogradov, Michael M.
1 Vitagliano, Luca
1 Vitolo, Raffaele F.
1 Voronov, Theodore
1 Zhelobenko, Dmitry Petrovich

Publications by Year

Citations contained in zbMATH

48 Publications have been cited 206 times in 145 Documents Cited by Year
The amenability of measure algebras. Zbl 1015.43002
Dales, H. G.; Ghahramani, F.; Helemskii, A. Ya.
29
2002
Banach and polynormed algebras. General theory, representations, homologies. Zbl 0688.46025
Khelemskiĭ, A. Ya
19
1989
Homology for the algebras of analysis. Zbl 0968.46061
Helemskii, A. Ya.
18
2000
Lectures and exercises on functional analysis. Zbl 1123.46001
Helemskii, A. Ya.
17
2006
Banach cyclic (co)homology and the Connes-Tzygan exact sequence. Zbl 0816.46076
Helemskii, A. Ya.
10
1992
An elementary realization of a nondiscrete factor. Zbl 1065.46041
Helemskii, A. Ya.
7
2000
Quantum functional analysis. Non-coordinate approach. Zbl 1263.46002
Helemskii, A. Ya.
6
2010
On the normal version of the simplicial cohomology of operator algebras. Zbl 0801.46093
Helemskii, A. Ya.; Lykova, Z. A.
6
1993
Flat Banach modules and amenable algebras. Zbl 0602.46052
Khelemskij, A. Ya.
6
1985
Metric freeness and projectivity for classical and quantum normed modules. Zbl 1288.46032
Helemskiǐ, A. Ya
5
2013
Projective modules in classical and quantum functional analysis. Zbl 1194.46071
Helemskii, A. Ya.
5
2009
The homological essence of Connes amenability: Injectivity of the predual bimodule. Zbl 0721.46041
Khelemskij, A. Ya.
5
1990
Amenable Banach algebras. Zbl 0426.46031
Khelemskij, A. Ya.; Shejnberg, M. V.
5
1979
The torsion product of modules over Banach algebras. Zbl 0245.46069
Khelemskij, A. Ya.
5
1971
On the homological dimension of normed modules over Banach algebras. Zbl 0216.16001
Khelemskij, A. Ya.
5
1971
Extreme version of projectivity for normed modules over sequence algebras. Zbl 1279.46033
Helemskii, A. Ya.
4
2013
Flat Banach modules and amenable algebras. Zbl 0569.46027
Khelemskij, A. Ya.
4
1984
Metric version of flatness and Hahn-Banach type theorems for normed modules over sequence algebras. Zbl 1241.46025
Helemskii, A. Ya.
3
2011
Some aspects of topological homology since 1995: a survey. Zbl 1084.46061
Helemskii, Alexander Ya.
3
2004
Projective homological classification of \(C^*\)-algebras. Zbl 0910.46056
Khelemskij, A. Ya.
3
1998
Lower values of the global homological dimension of functional Banach algebras. Zbl 0457.46057
Khelemskij, A. Ya.
3
1978
Extreme flatness of normed modules and Arveson-Wittstock type theorems. Zbl 1212.46070
Helemskii, A. Ya.
2
2010
Tensor products in quantum functional analysis: the non-matricial approach. Zbl 1124.46041
Helemskii, A. Ya.
2
2007
Quantum versions of vector duality and the exponential law in the framework of the non-matrix approach. Zbl 1177.46044
Helemskii, A. Ya.
2
2006
Wedderburn-type theorems for operator algebras and modules: Traditional and “quantized” homological approaches. Zbl 1042.46048
Helemskii, A. Ya.
2
2000
The spatial flatness and injectiveness of Connes operator algebras. (Research announcement). Zbl 1033.46507
Helemskii, A. Ya.
2
1994
A description of spatially projective von Neumann algebras. Zbl 0840.46038
Helemskii, A. Ya.
2
1994
Homological methods in Taylor’s holomorphic calculus of several operators in a Banach space. Zbl 0495.46047
Khelemskij, A. Ya.
2
1981
The homological dimension of certain modules over a tensor product of Banach algebras. Zbl 0413.46055
Golovin, Yu. O.; Khelemskiĭ, A. Ya.
2
1977
Description of differentiations in algebras of the type of locally observable spin system algebras. Zbl 0283.58008
Sinai, Ya. G.; Khelemskii, A. Ya.
2
1973
On a method for calculating and estimating the global homological dimension of Banach algebras. Zbl 0248.46039
Khelemskij, A. Ya.
2
1972
Annihilator extensions of commutative Banach algebras. Zbl 0151.18602
Khelemskij, A. Ya.
2
1965
Multi-normed spaces based on non-discrete measures and their tensor products. Zbl 1400.46045
Helemskii, Alexander Ya.
1
2018
Projective tensor product of proto-quantum spaces. Zbl 1409.46032
Helemskii, A. Ya.
1
2017
Tensor products and multipliers of modules \(L_p\) on locally compact measure spaces. Zbl 1323.46047
Helemskii, A. Ya.
1
2014
Description of morphisms from a Hilbert module over a \(C^*\)-algebra into this algebra. Zbl 1015.46033
Polyakov, M. E.; Khelemskij, A. Ya.
1
2000
Description of spatially projective operator \(C^*\)-algebras, and around it. Zbl 0918.46067
Helemskiĭ, Alexander Ya.
1
1998
Banach cyclic (co)homology in terms of Banach derived functors. Zbl 0895.46036
Khelemskij, A. Ya.
1
1991
Homology in Banach and polynormed algebras: Some results and problems. Zbl 0759.46065
Khelemskij, A. Ya.
1
1990
Expression of the normal cohomology in terms of “Ext”, and some applications. Zbl 0759.46064
Khelemskij, A. Ya.
1
1990
The hohomology of Banach and topological algebras. Transl. from the Russian by Alan West. Zbl 0695.46033
Khelemskij, A. Ya.
1
1989
Homology in Banach and topological algebras. (Gomologiya v banakhovykh i topologicheskikh algebrakh). Zbl 0608.46046
Khelemskij, A. Ya.
1
1986
Smallest values assumed by the global homological dimension of Banach function algebras. Zbl 0555.46035
Khelemskij, A. Ya.
1
1984
Homological dimensions of some algebras of basic (test) functions. Zbl 0544.46021
Ogneva, O. S.; Khelemskij, A. Ya.
1
1984
Global dimension of a Banach function algebra is different from unity. Zbl 0267.46039
Khelemskij, A. Ya.
1
1972
Homological dimension of Banach algebras of analytic functions. Zbl 0251.46053
Khelemskij, A. Ya.
1
1971
Description of relatively projective ideals in \(C(\Omega)\) algebras. Zbl 0235.46081
Khelemskij, A. Ya.
1
1970
Über die homologische Dimension normierter Moduln über Banachalgebren. Zbl 0189.44602
Khelemskij, A. Ya.
1
1970
Multi-normed spaces based on non-discrete measures and their tensor products. Zbl 1400.46045
Helemskii, Alexander Ya.
1
2018
Projective tensor product of proto-quantum spaces. Zbl 1409.46032
Helemskii, A. Ya.
1
2017
Tensor products and multipliers of modules \(L_p\) on locally compact measure spaces. Zbl 1323.46047
Helemskii, A. Ya.
1
2014
Metric freeness and projectivity for classical and quantum normed modules. Zbl 1288.46032
Helemskiǐ, A. Ya
5
2013
Extreme version of projectivity for normed modules over sequence algebras. Zbl 1279.46033
Helemskii, A. Ya.
4
2013
Metric version of flatness and Hahn-Banach type theorems for normed modules over sequence algebras. Zbl 1241.46025
Helemskii, A. Ya.
3
2011
Quantum functional analysis. Non-coordinate approach. Zbl 1263.46002
Helemskii, A. Ya.
6
2010
Extreme flatness of normed modules and Arveson-Wittstock type theorems. Zbl 1212.46070
Helemskii, A. Ya.
2
2010
Projective modules in classical and quantum functional analysis. Zbl 1194.46071
Helemskii, A. Ya.
5
2009
Tensor products in quantum functional analysis: the non-matricial approach. Zbl 1124.46041
Helemskii, A. Ya.
2
2007
Lectures and exercises on functional analysis. Zbl 1123.46001
Helemskii, A. Ya.
17
2006
Quantum versions of vector duality and the exponential law in the framework of the non-matrix approach. Zbl 1177.46044
Helemskii, A. Ya.
2
2006
Some aspects of topological homology since 1995: a survey. Zbl 1084.46061
Helemskii, Alexander Ya.
3
2004
The amenability of measure algebras. Zbl 1015.43002
Dales, H. G.; Ghahramani, F.; Helemskii, A. Ya.
29
2002
Homology for the algebras of analysis. Zbl 0968.46061
Helemskii, A. Ya.
18
2000
An elementary realization of a nondiscrete factor. Zbl 1065.46041
Helemskii, A. Ya.
7
2000
Wedderburn-type theorems for operator algebras and modules: Traditional and “quantized” homological approaches. Zbl 1042.46048
Helemskii, A. Ya.
2
2000
Description of morphisms from a Hilbert module over a \(C^*\)-algebra into this algebra. Zbl 1015.46033
Polyakov, M. E.; Khelemskij, A. Ya.
1
2000
Projective homological classification of \(C^*\)-algebras. Zbl 0910.46056
Khelemskij, A. Ya.
3
1998
Description of spatially projective operator \(C^*\)-algebras, and around it. Zbl 0918.46067
Helemskiĭ, Alexander Ya.
1
1998
The spatial flatness and injectiveness of Connes operator algebras. (Research announcement). Zbl 1033.46507
Helemskii, A. Ya.
2
1994
A description of spatially projective von Neumann algebras. Zbl 0840.46038
Helemskii, A. Ya.
2
1994
On the normal version of the simplicial cohomology of operator algebras. Zbl 0801.46093
Helemskii, A. Ya.; Lykova, Z. A.
6
1993
Banach cyclic (co)homology and the Connes-Tzygan exact sequence. Zbl 0816.46076
Helemskii, A. Ya.
10
1992
Banach cyclic (co)homology in terms of Banach derived functors. Zbl 0895.46036
Khelemskij, A. Ya.
1
1991
The homological essence of Connes amenability: Injectivity of the predual bimodule. Zbl 0721.46041
Khelemskij, A. Ya.
5
1990
Homology in Banach and polynormed algebras: Some results and problems. Zbl 0759.46065
Khelemskij, A. Ya.
1
1990
Expression of the normal cohomology in terms of “Ext”, and some applications. Zbl 0759.46064
Khelemskij, A. Ya.
1
1990
Banach and polynormed algebras. General theory, representations, homologies. Zbl 0688.46025
Khelemskiĭ, A. Ya
19
1989
The hohomology of Banach and topological algebras. Transl. from the Russian by Alan West. Zbl 0695.46033
Khelemskij, A. Ya.
1
1989
Homology in Banach and topological algebras. (Gomologiya v banakhovykh i topologicheskikh algebrakh). Zbl 0608.46046
Khelemskij, A. Ya.
1
1986
Flat Banach modules and amenable algebras. Zbl 0602.46052
Khelemskij, A. Ya.
6
1985
Flat Banach modules and amenable algebras. Zbl 0569.46027
Khelemskij, A. Ya.
4
1984
Smallest values assumed by the global homological dimension of Banach function algebras. Zbl 0555.46035
Khelemskij, A. Ya.
1
1984
Homological dimensions of some algebras of basic (test) functions. Zbl 0544.46021
Ogneva, O. S.; Khelemskij, A. Ya.
1
1984
Homological methods in Taylor’s holomorphic calculus of several operators in a Banach space. Zbl 0495.46047
Khelemskij, A. Ya.
2
1981
Amenable Banach algebras. Zbl 0426.46031
Khelemskij, A. Ya.; Shejnberg, M. V.
5
1979
Lower values of the global homological dimension of functional Banach algebras. Zbl 0457.46057
Khelemskij, A. Ya.
3
1978
The homological dimension of certain modules over a tensor product of Banach algebras. Zbl 0413.46055
Golovin, Yu. O.; Khelemskiĭ, A. Ya.
2
1977
Description of differentiations in algebras of the type of locally observable spin system algebras. Zbl 0283.58008
Sinai, Ya. G.; Khelemskii, A. Ya.
2
1973
On a method for calculating and estimating the global homological dimension of Banach algebras. Zbl 0248.46039
Khelemskij, A. Ya.
2
1972
Global dimension of a Banach function algebra is different from unity. Zbl 0267.46039
Khelemskij, A. Ya.
1
1972
The torsion product of modules over Banach algebras. Zbl 0245.46069
Khelemskij, A. Ya.
5
1971
On the homological dimension of normed modules over Banach algebras. Zbl 0216.16001
Khelemskij, A. Ya.
5
1971
Homological dimension of Banach algebras of analytic functions. Zbl 0251.46053
Khelemskij, A. Ya.
1
1971
Description of relatively projective ideals in \(C(\Omega)\) algebras. Zbl 0235.46081
Khelemskij, A. Ya.
1
1970
Über die homologische Dimension normierter Moduln über Banachalgebren. Zbl 0189.44602
Khelemskij, A. Ya.
1
1970
Annihilator extensions of commutative Banach algebras. Zbl 0151.18602
Khelemskij, A. Ya.
2
1965
all top 5

Cited by 144 Authors

10 Helemskii, Alexander Ya.
8 Dosi, Anar Adygezal
8 Runde, Volker
5 Gourdeau, Frédéric
5 Loy, Richard J.
4 Lykova, Zinaida A.
4 Nemesh, Norbert T.
4 White, Michael Christopher
3 Lau, Anthony To-Ming
3 Pirkovskiĭ, Alekseĭ Yul’evich
3 Pourmahmood-Aghababa, Hasan
3 Spronk, Nico
3 Tabaldyev, Seytek B.
2 Akbarov, Sergei S.
2 Amini, Massoud
2 Aristov, Oleg Yu.
2 Dales, H. Garth
2 Forrest, Brian E.
2 Fragoulopoulou, Maria
2 Fuchs, Dmitry Borisovich
2 Fufaev, D. V.
2 Ghahramani, Fereidoun
2 Grønbæk, Niels
2 Hayati, Bahman
2 Kirillov, Anatol N.
2 Lord, Steven
2 Mewomo, Oluwatosin Temitope
2 Minapoor, Ahmad
2 Moslehian, Mohammad Sal
2 Nasr-Isfahani, Rasoul
2 Nemati, Mehdi
2 Polyakov, M. E.
2 Sangani-Monfared, Mehdi
2 Sattari, Mohammad Hossein
2 Shtern, Aleksandr Isaakovich
2 Volosova, Nina V.
2 Willis, George A.
1 Abtahi, Fatemeh
1 Adamo, Maria Stella
1 Alekseevskiĭ, Dmitriĭ Vladimirovich
1 Anikushin, Mikhaĭl Mikhaĭlovich
1 Anshelevich, Vadim V.
1 Arhippainen, Jorma
1 Bade, William George
1 Badea, Catalin
1 Ben-Bassat, Oren
1 Bilalov, Bilal T.
1 Blanco, Aníbal M.
1 Bodaghi, Abasalt
1 Bruzzo, Ugo
1 Bufetov, Aleksandr Igorevich
1 Cabello Sánchez, Félix
1 Cao, Guangfu
1 Choi, Yemon
1 Daws, Matthew
1 Dehqan, Majid
1 Ebrahimi Bagha, Davood
1 Escande, Paul
1 Esslamzadeh, Gholam Hossein
1 Farhadi, Hamid-Reza
1 Farhat, Yasser
1 Ferguson, Sarah H.
1 Fonf, Vladimir P.
1 Fozouni, Mohammad
1 Gel’fand, Israil’ Moiseevich
1 Ghaderkhani, Saman
1 Ghahramani, Hoger
1 Girault, Vivette
1 Gol’dshtejn, M. Sh.
1 Guliyeva, Fatima A.
1 Gusarov, E. A.
1 Habibian, Fereydoun
1 Haydon, Richard G.
1 Hecht, Henryk
1 Inoue, Atsushi
1 Javanshiri, Hossein
1 Johnson, Barry Edward
1 Kalinin, D. I.
1 Kauppi, Jukka
1 Khedri, Fourogh
1 Khovanskiĭ, Askold Georgievich
1 Kremnizer, Kobi
1 Krichevets, A. N.
1 Kuchment, Peter A.
1 Lim, Lek-Heng
1 Lokutsievskiy, Lev Viacheslavovich
1 Luna-Elizarrarás, María Elena
1 Maepa, S. M.
1 Malinowska, Agnieszka Barbara
1 Mikhalëv, Aleksandr Vasil’evich
1 Mirzasani, Najmeh
1 Murat, François
1 Niknam, Assadollah
1 Noreldeen, Alaa Hassan
1 Odzijewicz, Tatiana
1 Orlov, Igor Vladimirovich
1 Ostadbashi, Saeid
1 Pérez-Regalado, Cesar Octavio
1 Pestov, Vladimir G.
1 Piszczek, Krzysztof
...and 44 more Authors
all top 5

Cited in 64 Serials

17 Journal of Functional Analysis
10 Mathematical Notes
7 Journal of Mathematical Analysis and Applications
7 Journal of Soviet Mathematics
6 Rocky Mountain Journal of Mathematics
6 Proceedings of the American Mathematical Society
6 Journal of Mathematical Sciences (New York)
5 Moscow University Mathematics Bulletin
4 Functional Analysis and its Applications
4 Transactions of the American Mathematical Society
3 Bulletin of the Australian Mathematical Society
3 Sbornik: Mathematics
3 Complex Analysis and Operator Theory
2 Journal of Geometry and Physics
2 Bulletin of the London Mathematical Society
2 Glasgow Mathematical Journal
2 Proceedings of the Edinburgh Mathematical Society. Series II
2 Quaestiones Mathematicae
2 Transactions of the Moscow Mathematical Society
2 Expositiones Mathematicae
2 Central European Journal of Mathematics
2 Mediterranean Journal of Mathematics
2 Banach Journal of Mathematical Analysis
1 Israel Journal of Mathematics
1 Journal of Mathematical Physics
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Periodica Mathematica Hungarica
1 Advances in Mathematics
1 Archiv der Mathematik
1 Canadian Mathematical Bulletin
1 Dissertationes Mathematicae
1 Duke Mathematical Journal
1 International Journal of Mathematics and Mathematical Sciences
1 Integral Equations and Operator Theory
1 Journal of Algebra
1 Journal of Differential Equations
1 Journal of Pure and Applied Algebra
1 Mathematische Zeitschrift
1 Memoirs of the American Mathematical Society
1 Monatshefte für Mathematik
1 Nagoya Mathematical Journal
1 Rendiconti del Circolo Matemàtico di Palermo. Serie II
1 Results in Mathematics
1 Siberian Mathematical Journal
1 Bulletin of the Iranian Mathematical Society
1 SIAM Journal on Matrix Analysis and Applications
1 International Journal of Mathematics
1 Linear Algebra and its Applications
1 Journal of Mathematical Imaging and Vision
1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
1 Russian Journal of Mathematical Physics
1 Bulletin des Sciences Mathématiques
1 Abstract and Applied Analysis
1 Positivity
1 Infinite Dimensional Analysis, Quantum Probability and Related Topics
1 Acta Mathematica Sinica. English Series
1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
1 Proceedings of the Steklov Institute of Mathematics
1 Kyoto Journal of Mathematics
1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
1 Eurasian Mathematical Journal
1 Caspian Journal of Mathematical Sciences
1 Chinese Journal of Mathematics
1 Sahand Communications in Mathematical Analysis

Citations by Year

Wikidata Timeline

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