Uniform Fréchet Algebras

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Elsevier, Apr 17, 1990 - 354 pages
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The first part of this monograph is an elementary introduction to the theory of Fréchet algebras. Important examples of Fréchet 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 Fréchet 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 Fréchet algebras.

 

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Contents

PART 1 BANACH ALGEBRAS ALGEBRAS OF HOLOMORPHIC FUNCTIONS AN INTRODUCTION
1
PART 2 GENERAL THEORY OF FRECHET ALGEBRAS
57
PART 3 ANALYTIC STRUCTURE IN SPECTRA
195
APPENDIX A Subharmonic functions Poisson integral
331
APPENDIX B Functional analysis
335
List of symbols
336
References
338
Index
350
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