$C_{BSE}(\Delta(A))$ as a dual Banach algebra

Fatemeh Abtahi; Ali Rejali; Farshad Sayaf

$C_{BSE}(\Delta(A))$ as a dual Banach algebra

Functional Analysis 2021-10-14 v1

Authors: Fatemeh Abtahi , Ali Rejali , Farshad Sayaf

Abstract

Let $( X , d )$ be a metric space and $A$ be a commutative Banach algebra such that $\Delta ( A )$ be nonempty. In this paper, we provide necessary and sufficient conditions, under which $C_{BSE} ( \Delta (A) )$ is a Dual Banach algebra. Moreover, we provide some conditions for that $Lip_{\alpha} ( X , A )$ is a Dual Banach algebra.

Keywords

dual Banach algebra commutative Banach algebra BSE function Lipschitz algebra metric space

Cite

@article{arxiv.2110.06842,
  title  = {$C_{BSE}(\Delta(A))$ as a dual Banach algebra},
  author = {Fatemeh Abtahi and Ali Rejali and Farshad Sayaf},
  journal= {arXiv preprint arXiv:2110.06842},
  year   = {2021}
}

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