English

Functional identities and zero Lie product determined Banach algebras

Rings and Algebras 2019-12-18 v1 Functional Analysis

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.

Keywords

Cite

@article{arxiv.1912.07856,
  title  = {Functional identities and zero Lie product determined Banach algebras},
  author = {Matej Brešar},
  journal= {arXiv preprint arXiv:1912.07856},
  year   = {2019}
}