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arXiv:1803.08236 [math.FA]AbstractReferencesReviewsResources

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

Osamu Hatori

Published 2018-03-22, updated 2018-04-21Version 2

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.

Comments: revision of the previous manuscript
Categories: math.FA
Subjects: 46E40, 46B04, 46J10, 46J15
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