Second duals of measure algebras

IF 1.5 3区数学 Q1 MATHEMATICS

Dissertationes Mathematicae 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

Dissertationes Mathematicae 数学-数学

CiteScore

2.80

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： DISSERTATIONES MATHEMATICAE publishes long research papers (preferably 50-100 pages) in any area of mathematics. An important feature of papers accepted for publication should be their utility for a broad readership of specialists in the domain. In particular, the papers should be to some reasonable extent self-contained. The paper version is considered as primary. The following criteria are taken into account in the reviewing procedure: correctness, mathematical level, mathematical novelty, utility for a broad readership of specialists in the domain, language and editorial aspects. The Editors have adopted appropriate procedures to avoid ghostwriting and guest authorship.