BANACH ALGEBRAS RELATED TO THE ELEMENTS OF THE UNIT BALL OF A BANACH ALGEBRA

被引：7

作者：

Kamyabi-Gol, R. A. ^{[1
]}

Janfada, M. ^{[2
]}

机构：

[1] Ferdowsi Univ Mashhad, Dept Math, Mashhad, Iran

[2] Teacher Training Univ Sabzevar, Dept Math, Sabzevar, Iran

来源：

TAIWANESE JOURNAL OF MATHEMATICS | 2008年 / 12卷 / 07期

关键词：

Banach algebra; Arens regularity; Amenability;

D O I：

10.11650/twjm/1500405087

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Suppose A is a Banach algebra and c is in A with ||epsilon|| <= 1. In this note we aim to study the algebraic properties of the Banach algebra A(epsilon), where the product on A(epsilon) is given by a circle dot b = a epsilon b, for a, b is an element of A. In particular we study the Arens regularity, amenability and derivations on A(epsilon). Also we prove that if A has an involution then A(epsilon) has the same involution just when epsilon = 1 or -1.

引用

页码：1769 / 1779

页数：11

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