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A NOTE ON A-MODULE BANACH ALGEBRA
A. Taghavi (Iran) and A. Akbari (Iran)
Received January 1, 2009
Abstract
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Let A
be a Banach algebra and X be a unital
Banach left A-module, and let
be a module map. Then the operation
for every
defines a product on X
such that X becomes a Banach algebra denoted by
We investigate the relationship
between the resulting algebra
and the given algebra A. |
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Keywords and phrases:
Banach algebra, Banach left A-module, Banach module algebra. |
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