What is it about?
In this work, we investigate derivations on Banach *-algebras. Moreover, we offer some conditions forcing a Banach *-algebra to be commutative.
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Why is it important?
In this study, we make clear the influence of the dimension of the characters space of a Banach *algebra A on the commutativity of Banach *-algebra A. Bounded derivations play an essential role in this issue.
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This page is a summary of: Some conditions under which derivations are zero on Banach *-algebras, Acta Universitatis Sapientiae Mathematica, January 2017, De Gruyter,
DOI: 10.1515/ausm-2017-0011.
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