By: Nik Weaver (author)Hardback
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The Lipschitz algebras Lip(M), for M a complete metric space, are quite analogous to the spaces C(��) and L� (X), for �� a compact Hausdorff space and X a � -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.
Lipschitz spaces; the predual; little Lipschitz spaces; Lipschitz algebras; Lipschitz lattices; measurable Lipschitz algebras; derivations.
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- ID: 9789810238735
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