Functional Identities and Zero Lie Product Determined Banach Algebras

Author:

Brešar Matej1

Affiliation:

1. Faculty of Mathematics and Physics, Jadranska 19, University of Ljubljana, 1000 Ljubljana, and Faculty of Natural Sciences and Mathematics, Koroska c. 160, University of Maribor, 2000 Maribor, Slovenia

Abstract

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.

Publisher

Oxford University Press (OUP)

Subject

General Mathematics

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