Cohomology in Banach Algebras

· American Mathematical Society: Memoirs of the American Mathematical Society Ibhuku elingu-127 · American Mathematical Soc.
I-Ebook
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Izilinganiso nezibuyekezo aziqinisekisiwe  Funda Kabanzi

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Let [Fraktur capital]A be a Banach algebra, [Fraktur capital]X a two-sided Banach [Fraktur capital] A-module, and define the cohomology groups [italic]H[italic superscript]n([Fraktur capital]A, [Fraktur capital]X) from the complex of bounded cochains in exact analogy to the classical (algebraic) case. This article gives an introduction to several aspects of the resulting theory.

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