This is an announcement for the paper “Isometries on Banach algebras of C(Y)-valued maps” by Osamu Hatorihttps://arxiv.org/find/math/1/au:+Hatori_O/0/1/0/all/0/1.
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.
The paper may be downloaded from the archive by web browser from URL https://arxiv.org/abs/1803.08236