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Approximate $(\sigma-\tau)$-Contractibility

Functional Analysis 2021-07-23 v1

Abstract

In this paper, the generalized Hyers--Ulam--Rassias stability of (στ)(\sigma-\tau)-derivations on normed algebras into Banach bimodules is established. We introduce the notion of approximate (στ)(\sigma-\tau)-contractibility and prove that a Banach algebra is (στ)(\sigma-\tau)-contractible if and only if it is approximately (στ)(\sigma-\tau)-Contractible.

Keywords

Cite

@article{arxiv.math/0501013,
  title  = {Approximate $(\sigma-\tau)$-Contractibility},
  author = {Mohammad Sal Moslehian},
  journal= {arXiv preprint arXiv:math/0501013},
  year   = {2021}
}

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10 pages