Second duals of measure algebras

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2011-01-01 DOI:10.4064/DM481-0-1

H. Dales, A. Lau, D. Strauss

引用次数: 34

Abstract

Let A be a Banach algebra. Then there are two natural products on the second dual A′′ of A arising from left and right translations by elements of A; they are called the Arens products; we denote these products by and ♦, respectively. For definitions and discussions of these products, see [2], [4], and [5], for example. We briefly recall the definitions. For a ∈ A, λ ∈ A′, and Φ ∈ A′′, define λ · a and a · λ in A′ by

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测度代数的第二对偶

设A是一个巴拿赫代数。然后在A的第二对偶A '上有两个自然产物由A的元素左右平移产生;它们被称为阿伦斯产品;我们分别用和♦来表示这些产品。有关这些产品的定义和讨论，请参见[2]、[4]和[5]等。我们简单回顾一下这些定义。对于a∈a， λ∈a '， Φ∈a '，在a ' by中定义λ·a和a·λ

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.