Characterization of C(x) among its Subalgebras  book cover
1st Edition

Characterization of C(x) among its Subalgebras

ISBN 9780824760380
Published October 1, 1972 by CRC Press
176 Pages

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Book Description

This book presents a detailed account of some results about subalgebras of C(X), which carry a Banach algebra norm. It is intended for students who have had a standard graduate real-variable course and be acquainted with a few odds and ends of functional analysis and complex-variables.

Table of Contents

1. Bishop’s Stone—Weierstrass Theorem 2. Restriction Algebras Determining C(X) 3. Wermer’s Theorem on Algebras with Multiplicativelt Closed Real Part 4. The Work of Alain Bernard 5. The Theorems of Gorin and Cirka 6. Bounded Approximate Normality, the Work of Bade and Curtis 7. Katznelson’s Bounded Idempotent Theorem 8. Characterization of C(x) by Functions Which Operate

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