Lipschitz algebras
著者
書誌事項
Lipschitz algebras
World Scientific, c1999
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注記
Includes bibliographical references and index
内容説明・目次
内容説明
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.
目次
- Lipschitz spaces
- the predual
- little Lipschitz spaces
- Lipschitz algebras
- Lipschitz lattices
- measurable Lipschitz algebras
- derivations.
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