English

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

Functional Analysis 2019-04-09 v4

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)C(Y)-valuezations that take values in unital commutative CC^*-algebras. A precise proof of a theorem of Jarosz \cite{ja} is exhibited.

Keywords

Cite

@article{arxiv.1803.08236,
  title  = {Isometries on Banach algebras of $C(Y)$-valued maps},
  author = {Osamu Hatori},
  journal= {arXiv preprint arXiv:1803.08236},
  year   = {2019}
}

Comments

revision of the previous manuscript