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Uniform Frechet algebras [electronic resource] / Helmut Goldmann.

By: Goldmann, HelmutMaterial type: TextTextSeries: North-Holland mathematics studies ; 162.Publication details: Amsterdam ; New York : New York : North-Holland ; Distributors for the U.S. and Canada, Elsevier Science Pub. Co., 1990. Description: 1 online resource (viii, 355 p.)ISBN: 9780444884886; 0444884882Other title: Frechet algebrasSubject(s): Uniform algebras | Alg�ebres uniformes | Uniform algebrasGenre/Form: Electronic books.Additional physical formats: Print version:: Uniform Frechet algebras.DDC classification: 512/.55 LOC classification: QA326 | .G64 1990ebOnline resources: ScienceDirect | Volltext Summary: The first part of this monograph is an elementary introduction to the theory of F�rchet algebras. Important examples of F�rchet 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 F�rchet 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 F�rchet algebras.
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The first part of this monograph is an elementary introduction to the theory of F�rchet algebras. Important examples of F�rchet 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 F�rchet 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 F�rchet algebras.

Includes bibliographical references and index.

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