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arXiv · 2012.06403

Bochner-Schoenberg-Eberlein-type inequality of the direct sum, ideals and quotient of Frechet algebras

Mitra Amiri·Ali Rejali
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Abstract

Let A and B be two commutative semisimple Frechet algebras. We first give a characterization of the multiplier algebra of the direct sum of A and B. We then prove that A \oplus B is a BSE-algebra if and only if A and B are BSE-algebras. Furthermore, for a closed ideal I of A, we study multipliers of ideals and quotient algebras of A and show that I and A/I are BSE-algebras, under certain conditions.

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Mitra Amiri, Ali Rejali. 2020-12-11. Bochner-Schoenberg-Eberlein-type inequality of the direct sum, ideals and quotient of Frechet algebras. https://arxiv.org/abs/2012.06403

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