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Lipschitz Algebras - Nik Weaver

Lipschitz Algebras

By: Nik Weaver

Hardcover | 26 July 1999

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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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