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Functional identities and zero Lie product determined Banach algebras

2019/12/17 by Brešar, Matej
#FOS: Mathematics #Functional Analysis (math.FA) #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.1912.07856

Abstract

Three problems connecting functional identities to the recently introduced notion of a zero Lie product determined Banach algebra are discussed. The first one concerns commuting linear maps, the second one concerns derivations that preserve commutativity, and the third one concerns bijective commutativity preserving linear maps.

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