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arXiv · 2110.06842

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

Fatemeh Abtahi·Ali Rejali·Farshad Sayaf
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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.

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Fatemeh Abtahi, Ali Rejali, Farshad Sayaf. 2021-10-13. $C_{BSE}(\Delta(A))$ as a dual Banach algebra. https://arxiv.org/abs/2110.06842

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