International Journal of Functional Analysis, Operator Theory and Applications
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Abstract: 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.
Keywords and phrases: Banach algebra, Banach left A-module, Banach module algebra.
