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Uniform algebras by Theodore W. Gamelin

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Published by Prentice-Hall in Englewood Cliffs, N.J .
Written in English

Subjects:

  • Uniform algebras,
  • Analytic functions

Book details:

Edition Notes

Bibliography: p. 240-252.

Statement[by] Theodore W. Gamelin.
SeriesPrentice-Hall series in modern analysis
Classifications
LC ClassificationsQA326 .G43
The Physical Object
Paginationxiii, 257 p.
Number of Pages257
ID Numbers
Open LibraryOL5694819M
ISBN 100139378057
LC Control Number70084036

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Uniform Algebras and Jensen Measures; Uniform Algebras and Jensen Measures. Uniform Algebras and Jensen Measures. Get access. Buy the print book Check if you have access via personal or institutional login. Book summary views reflect the number of visits to the book and chapter landing pages. Total views: 0 *Cited by: The algebras which occur are algebras of complex valued functions and they are given the uniform norm with respect to some compact set K. Since the usual terms for these algebras (sup. norm algebras or function algebras) are not euphonious, we shall call them uniform algebras. Get this from a library! Uniform algebras. [Theodore W Gamelin] -- From the Preface: The functional-analytic approach to uniform algebras is inextricably interwoven with the theory of analytic functions [T]he concepts and techniques introduced to deal with these. Search in this book series. Uniform Fréchet Algebras. Edited by Leopoldo Nachbin. Volume , Pages i-iv, () Download full volume. Previous volume. Next volume. Actions for selected chapters. Select all / Deselect all. Download PDFs Export citations. Show all chapter previews Show all chapter previews.

(source: Nielsen Book Data) Summary From the Preface: ""The functional-analytic approach to uniform algebras is inextricably interwoven with the theory of analytic functions [T]he concepts and techniques introduced to deal with these problems [of uniform algebras], such as ""peak points"" and ""parts, "" provide new insights into the. Basic terminologyand standard properties of uniform algebrasarepresented in Chapter 1. Associated algebras, such as Bourgain algebras, polynomial ext- sions, and inductive limit algebras are introduced and discussed. At the end of the chapter we present recently found conditions for a mapping between uniform algebras to be an algebraic isomorphism.   1 Uniform algebras. A uniform algebra is a closed subalgebra A of the complex algebra C(K) that contains the constants and separates points. Here K is a compact Hausdorff space, and A is endowed with the supremum norm inherited from C(K). The algebra A is said to be proper if A ≠ C(K). Uniform algebras arise naturally in connection with. Shift-Invariant Uniform Algebras on Groups Suren A. Grigoryan, Toma V. Tonev The central subject of the book - the theory of shift-invariant algebras - is an outgrowth of the established theory of generalized analytic functions.

This text is a classical reference on uniform algebras, written by a major expert in the area. Gamelin's book is a nice text that any mathematician interested in uniform algebras or related questions should have on his shelves. The book is also interesting for non-specialists.   Purchase Uniform Fréchet Algebras, Volume - 1st Edition. Print Book & E-Book. ISBN , Book Edition: 1. In mathematics, especially functional analysis, a Banach algebra, named after Stefan Banach, is an associative algebra A over the real or complex numbers (or over a non-Archimedean complete normed field) that at the same time is also a Banach space, i.e. a normed space and complete in the metric induced by the norm. The norm is required to satisfy ∀, ∈: ‖ ‖ ≤ ‖ ‖ ‖ ‖. TIGHT UNIFORM ALGEBRAS domains. For example, let Kbe any compact planar set and let Qbe the set of non-peak points for R(K) (zis a peak point for Aif there exists an f2 Awith f(z) = 1 and jfj.