Uniform Frechet Algebras, Issue 162

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North-Holland, 1990 - Mathematics - 355 pages
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The first part of this monograph is an elementary introduction to the theory of Freacute;chet algebras. Important examples of Freacute;chet algebras, which are among those considered, are the algebra of all holomorphic functions on a (hemicompact) reduced complex space, and the algebra of all continuous functions on a suitable topological space. The problem of finding analytic structure in the spectrum of a Freacute;chet algebra is the subject of the second part of the book. In particular, the author pays attention to function algebraic characterizations of certain Stein algebras (= algebras of holomorphic functions on Stein spaces) within the class of Freacute;chet algebras.

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