BSE-property of tensor product Banach algebras

Maryam Aghakoochai; Ali Rejali

BSE-property of tensor product Banach algebras

Functional Analysis 2022-12-23 v1

Authors: Maryam Aghakoochai , Ali Rejali

Abstract

Let $A$ and $B$ be commutative semisimple Banach algebras. In this paper, the $BSE$ and $BED$ - property of tensor Banach algebra $A{\otimes}_{\gamma} B$ with respect to the Banach algebras $A$ and $B$ are assesed. In particular, $BSE$ and $BED$ - structure of vector-valued group algebra $L_{1}(G, A)$ and $C^{*}$ - algebra $C_{0}(X, A)$ characterized.

Keywords

banach algebras tensor product bse-property bed-property vector-valued group algebra c*-algebra

Cite

@article{arxiv.2212.11883,
  title  = {BSE-property of tensor product Banach algebras},
  author = {Maryam Aghakoochai and Ali Rejali},
  journal= {arXiv preprint arXiv:2212.11883},
  year   = {2022}
}

Comments

arXiv admin note: text overlap with arXiv:2212.06131

Related papers

View all related →