English

Almost multiplicative maps with respect to almost associative operations on Banach algebras

Functional Analysis 2023-03-15 v1

Abstract

We prove an Ulam type stability result for a non-associative version of the multiplicativity equation, that is, T(xy)=Ψ(T(x),T(y))T(xy)=\Psi(T(x),T(y)), where TT is a unital bounded operator acting from an amenable Banach algebra to a dual Banach algebra.

Keywords

Cite

@article{arxiv.2303.07869,
  title  = {Almost multiplicative maps with respect to almost associative operations on Banach algebras},
  author = {Tomasz Kochanek},
  journal= {arXiv preprint arXiv:2303.07869},
  year   = {2023}
}

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11 pages