Geodesic
Description of the cohomology of Banach algebras and locally convex algebras in the language of $A_\infty$-structures
Izvestiya. Mathematics , Tome 62 (1998) no. 4, pp. 789-805

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We consider the following problem: how can one apply the methods employed for describing the cohomology of algebras and based on the use of the $A_\infty$-structures of Stasheff to describe the cohomology of Banach algebras and locally convex algebras. 
@article{IM2_1998_62_4_a5,
     author = {V. A. Smirnov and S. V. Kuznetsova and I. V. Mayorova},
     title = {Description of the cohomology of {Banach} algebras and locally convex algebras in the language of $A_\infty$-structures},
     journal = {Izvestiya. Mathematics },
     pages = {789--805},
     publisher = {mathdoc},
     volume = {62},
     number = {4},
     year = {1998},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1998_62_4_a5/}
}
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V. A. Smirnov; S. V. Kuznetsova; I. V. Mayorova. Description of the cohomology of Banach algebras and locally convex algebras in the language of $A_\infty$-structures. Izvestiya. Mathematics , Tome 62 (1998) no. 4, pp. 789-805. http://geodesic.mathdoc.fr/item/IM2_1998_62_4_a5/