Lipschitz Algebras

By: Nik Weaver

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Hardcover | 26 July 1999

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240 Pages

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The Lipschitz algebras Lip(M), for M a complete metric space, are quite analogous to the spaces C(OMEGA) and L (X), for OMEGA a compact Hausdorff space and X a sigma-finite measure space. Although the Lipschitz algebras have not been studied as thoroughly as these better-known cousins, it is becoming increasingly clear that they play a fundamental role in functional analysis, and are also useful in many applications, especially in the direction of metric geometry. This book gives a comprehensive treatment of (what is currently known about) the beautiful theory of these algebras.

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You Can Find This Book In

Non-Fiction Mathematics Algebra Calculus & Mathematical Analysis Functional Analysis & Transforms Differential Calculus & Equations Booktopia Publisher Services World Scientific Publishing

Preface
Lipschitz Spaces	p. 1
The Predual	p. 33
Little Lipschitz Spaces	p. 73
Lipschitz Algebras	p. 101
Lipschitz Lattices	p. 137
Measurable Lipschitz Algebras	p. 161
Derivations	p. 189
Table of Symbols	p. 213
Bibliography	p. 215
Index	p. 221
Table of Contents provided by Blackwell. All Rights Reserved.

Lipschitz Algebras

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