Homology in Banach and topological algebras

This book sets out the homological theory of banach and topological algebra and its applications to the theory of operators, harmonious analysis, the theory of representations and other issues. The monograph consists of two parts. In the first part, the necessary preparatory material is collected, here, in particular, the closed presentation of the theory of topological - primarily banal - tensor works is given. The second part contains the main results about the homological characteristics of the most important algebra classes that are most important for the analysis of the classes. Among the latter is the construction of the calculation of the holomorphic functions from several operators in a banach space, which is important for physics.
The book is intended for specialists in the field of mathematics and mathematical physics, senior students and graduate students