On Banach Algebras Induced by a Certain Product

CJM Vol. 6 (December 2014), pp. 89 – 96.

Author(s): 
A.R. Khoddami

Abstract: 

We obtain characterization of bounded approximate identities for Banach algebras induced by Lau product of Banach algebras defined by a Banach algebra homomorphism. Also we characterize the unitization and minimal idempotents of these algebras. Finally we study the ideal structure of these algebras. Also we extend a result of Sangani Monfared.

Keywords: 
bounded approximate identity
T-Lau product
minimal idempotent
unitization

2010 Mathematics Subject Classification: 
46H05
46J05

Full Paper (PDF): 
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