Lipschitz algebras

著者

• Weaver, Nik

書誌事項

Lipschitz algebras

Nik Weaver

World Scientific, c1999

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.

「Nielsen BookData」 より

• NII書誌ID(NCID): BA42901842
• ISBN:
  • 9810238738
• LCCN: 99030373
• 出版国コード: si
• タイトル言語コード: eng
• 本文言語コード: eng
• 出版地: Singapore
• ページ数/冊数: xiii, 223 p.
• 大きさ: 23 cm
• 分類:
  • LCC : QA323
  • DC21 : 515/.73
• 件名:
  • LCSH : Lipschitz spaces