Title of article
On zero product determined Banach algebras
Author/Authors
Zivari-Kazempour, Abbas Department of Mathematics - Ayatollah Borujerdi University, Borujerd, Iran
Pages
7
From page
63
To page
69
Abstract
Let A be a Banach algebra with a left approximate identity. In this paper, under each of the following conditions, we prove that A is zero product determined. (i) For every continuous bilinear mapping from A A into X, where X is a Banach space, there exists k > 0 such that k(a; b)k kkabk, for all a; b 2 A. (ii) A is generated by idempotents.
Keywords
Banach algebra , Zero product determined , Idempotent , Approximate identity
Journal title
Wavelets and Linear Algebra
Serial Year
2021
Record number
2704165
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