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arXiv · 2112.09982

The BSE property for vector-valued Frechet Lipschitz algebras

Ali Rejali·Maryam Aghakoochaki
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Abstract

Let $( X,d )$ be a metric space with at least two elements and $( A , p_l )$ be a commutative semisimple Frechet algebra over the scalar field of complex numbers. The correlation between the BSE-property of the Frechet algebra $( A , p_l )$ and $\Lip_{d}( X , A )$ is assessed. It is found and approved that if $\Lip_{d}( X , A )$ is a BSE-Frechet algebra, then so is $A$. The opposite correlation will hold if $( A , p_l )$ is unital.

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BibTeXRIS

Ali Rejali, Maryam Aghakoochaki. 2021-12-18. The BSE property for vector-valued Frechet Lipschitz algebras. https://arxiv.org/abs/2112.09982

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