Lipschitz Algebras

Lipschitz Algebras
Author :
Publisher : World Scientific
Total Pages : 238
Release :
ISBN-10 : 9789814494953
ISBN-13 : 981449495X
Rating : 4/5 (95X Downloads)

Book Synopsis Lipschitz Algebras by : Nik Weaver

Download or read book Lipschitz Algebras written by Nik Weaver and published by World Scientific. This book was released on 1999-07-22 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Lipschitz algebras Lip(M), for M a complete metric space, are quite analogous to the spaces C(Ω) and L∞(X), for Ω a compact Hausdorff space and X a σ-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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