Helemskii Alexander Yakovlevich

Publications in Math-Net.Ru

1. Multi-normed spaces based on non-discrete measures and their tensor products
   
   Izv. RAN. Ser. Mat., 82:2 (2018),  194–216
2. Tensor Products and Multipliers of Modules $L_p$ on Locally Compact Measure Spaces
   
   Mat. Zametki, 96:3 (2014),  450–469
3. Metric freeness and projectivity for classical and quantum normed modules
   
   Mat. Sb., 204:7 (2013),  127–158
4. Nonmatricial Version of the Arveson–Wittstock Extension Principle, and Its Generalization
   
   Funktsional. Anal. i Prilozhen., 42:3 (2008),  63–70
5. Projective modules in the classical and quantum functional analysis
   
   Fundam. Prikl. Mat., 13:7 (2007),  7–84
6. Quantum versions of vector quality and exponential law in the frame-work of the non-matricial approach
   
   Mat. Sb., 197:12 (2006),  133–156
7. Description of morphisms from a Hilbert module over a $C^*$-algebra into this algebra
   
   Mat. Zametki, 68:4 (2000),  560–567
8. The structure of a $C^*$-algebra and its supply of projective Hilbert modules
   
   Uspekhi Mat. Nauk, 52:4(316) (1997),  221–222
9. Approximately finite-dimensional $C^*$-algebras with projective Hilbert modules, their Bratteli diagrams, and $K_0$-groups
   
   Mat. Sb., 188:10 (1997),  131–148
10. Homological characterization of factors of type I
    
    Dokl. Akad. Nauk, 344:4 (1995),  454–456
11. Banach cyclic (co)homology as Banach derived functors
    
    Algebra i Analiz, 3:5 (1991),  213–228
12. The homological essence of Connes amenability: injectivity of the predual bimodule
    
    Mat. Sb., 180:12 (1989),  1680–1690
13. Flat Banach modules and amenable algebras
    
    Tr. Mosk. Mat. Obs., 47 (1984),  179–218
14. Homological dimensions of certain algebras of principal (test) functions
    
    Mat. Zametki, 35:2 (1984),  177–187
15. Homological methods in Taylor's holomorphic calculus of several operators in a Banach space
    
    Uspekhi Mat. Nauk, 36:1(217) (1981),  127–172
16. Amenable Banach algebras
    
    Funktsional. Anal. i Prilozhen., 13:1 (1979),  42–48
17. On the representation of differentiations by Hamiltonians, operating from an algebra of local observable spin systems
    
    Mat. Zametki, 21:1 (1977),  93–98
18. A locally compact group algebra having trivial two-dimensional Banach cohomology groups is compact
    
    Dokl. Akad. Nauk SSSR, 203:5 (1972),  1004–1007
19. Description of differentiations in algebras of the type of locally observable spin system algebras
    
    Funktsional. Anal. i Prilozhen., 6:4 (1972),  99–100
20. Global dimension of a Banach function algebra is different from unity
    
    Funktsional. Anal. i Prilozhen., 6:2 (1972),  95–96
21. On a method for calculating and estimating the global homological dimension of Banach algebras
    
    Mat. Sb. (N.S.), 87(129):1 (1972),  122–135
22. The torsion product of modules over Banach algebras
    
    Funktsional. Anal. i Prilozhen., 5:1 (1971),  95–96
23. A description of the relatively projective ideals in the algebras $C(\Omega)$
    
    Dokl. Akad. Nauk SSSR, 195:6 (1970),  1286–1289
24. Homological dimension of Banach algebras of analytic functions
    
    Mat. Sb. (N.S.), 83(125):2(10) (1970),  222–233
25. On the homological dimension of normed modules over Banach algebras
    
    Mat. Sb. (N.S.), 81(123):3 (1970),  430–444
26. 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
27. Singular extensions of the algebra of all continuous functions on a compactum
    
    Sibirsk. Mat. Zh., 10:3 (1969),  671–684
28. Example of a compactum, not an $F$-space, but having a uniqueness property
    
    Mat. Zametki, 1:6 (1967),  735–740
29. 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
30. Annihilator extensions of commutative Banach algebras
    
    Izv. Akad. Nauk SSSR Ser. Mat., 29:4 (1965),  945–956
31. A description of annihilator commutative Banach algebras
    
    Dokl. Akad. Nauk SSSR, 157:1 (1964),  60–62


32. Anatolii Mikhailovich Stepin (obituary)
    
    Uspekhi Mat. Nauk, 77:2(464) (2022),  189–194
33. Alexandre Mikhailovich Vinogradov (obituary)
    
    Uspekhi Mat. Nauk, 75:2(452) (2020),  185–190
34. Alexander Semenovich Holevo (on his 75th birthday)
    
    Uspekhi Mat. Nauk, 73:6(444) (2018),  199–203
35. Robert Adol'fovich Minlos (on his sixtieth birthday)
    
    Uspekhi Mat. Nauk, 47:1(283) (1992),  225–226
36. Mark Aronovich Naimark (obituary)
    
    Uspekhi Mat. Nauk, 35:4(214) (1980),  135–140