BSE-properties of Vector-valued group algebras

Ali Rejali; Mitra Amiri

BSE-properties of Vector-valued group algebras

Functional Analysis 2022-06-23 v1

Authors: Ali Rejali , Mitra Amiri

Abstract

Let $\mathcal{A}$ be a commutative and semisimple Banach algebra with identity norm one and $G$ be an abelian locally compact Hausdorff group. In this paper, we study BSE-Property for $L^1(G,\mathcal A)$ and show that $L^1(G,\mathcal A)$ is a BSE algebra if and only if $\mathcal A$ is so.

Keywords

banach algebra bse algebra vector-valued group algebra locally compact group semisimple

Cite

@article{arxiv.2206.11237,
  title  = {BSE-properties of Vector-valued group algebras},
  author = {Ali Rejali and Mitra Amiri},
  journal= {arXiv preprint arXiv:2206.11237},
  year   = {2022}
}

Comments

arXiv admin note: text overlap with arXiv:2206.07123

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