Banach Function Algebras, Arens Regularity, and Bse Norms

Dales, Harold Garth, Ülger, Ali

Banach Function Algebras, Arens Regularity, and Bse Norms
  • 出版商: Springer
  • 出版日期: 2024-02-20
  • 售價: $5,540
  • 貴賓價: 9.5 折 $5,263
  • 語言: 英文
  • 頁數: 445
  • 裝訂: Hardcover - also called cloth, retail trade, or trade
  • ISBN: 3031445317
  • ISBN-13: 9783031445316

    • 海外代購書籍(需單獨結帳)

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商品描述

This book is about semisimple Banach algebras with a focus on those that are commutative.

After laying out the necessary background material from functional analysis, geometry of Banach spaces and measure theory, we introduce many specific Banach algebras from operator theory, harmonic analysis, and function theory and study their basic properties.

Some of the questions dealt with in the book are: Whether the introduced Banach algebras are BSE-algebras, whether they have BSE norms, whether they have the separating ball property or some variant of it, and whether they are Arens regular. The book contains quite a few new results, as well as new proofs of a good many known results.

The book is intended for those who are preparing to work in Banach algebras or who have been doing research in related areas.


商品描述(中文翻譯)

這本書是關於半簡單巴拿赫代數，尤其關注於那些可交換的代數。

在介紹必要的背景知識，包括函數分析、巴拿赫空間的幾何和測度論之後，我們介紹了許多特定的巴拿赫代數，包括運算子理論、調和分析和函數理論，並研究它們的基本性質。

本書討論的一些問題包括：所介紹的巴拿赫代數是否為BSE-代數，它們是否具有BSE範數，它們是否具有分離球特性或其變體，以及它們是否為Arens正則。本書包含了相當多的新結果，以及對許多已知結果的新證明。

本書適用於那些準備從事巴拿赫代數研究或已經在相關領域進行研究的人士。

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