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arXiv · 2306.16136

The Spectral extension property in the unitization of Banach Algebras

H. V. Dedania·A. B. Patel
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Abstract

Let $A$ be a non-unital Banach algebra and let $A_e = A \oplus {\mathbb C}1$ be the unitization of $A$. It is true that if $A_e$ has the spectral extension property (SEP), then $A$ has the same. Does the converse hold? In this paper, we give some necessary as well as some equivalent conditions.

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BibTeXRIS

H. V. Dedania, A. B. Patel. 2023-06-28. The Spectral extension property in the unitization of Banach Algebras. https://arxiv.org/abs/2306.16136

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