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arXiv · 1803.08236

Isometries on Banach algebras of $C(Y)$-valued maps

Osamu Hatori
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Abstract

We propose a unified approach to the study of isometries on algebras of vector-valued Lipschitz maps and those of continuously differentiable maps by means of the notion of natural $C(Y)$-valuezations that take values in unital commutative $C^*$-algebras. A precise proof of a theorem of Jarosz \cite{ja} is exhibited.

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Osamu Hatori. 2018-03-22. Isometries on Banach algebras of $C(Y)$-valued maps. https://arxiv.org/abs/1803.08236

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