Hermitian Operators and Isometries on Banach Algebras of Continuous Maps with Values in Unital Commutative C⁎-Algebras

We study isometries on algebras of the Lipschitz maps and the continuously differentiable maps with the values in a commutative unital C⁎-algebra. A precise proof of a theorem of Jarosz concerning isometries on spaces of continuous functions is exhibited.

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Main Author: Osamu Hatori
Format: Article
Language:English
Published: Wiley 2018-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2018/8085304
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author Osamu Hatori
author_facet Osamu Hatori
author_sort Osamu Hatori
collection DOAJ
description We study isometries on algebras of the Lipschitz maps and the continuously differentiable maps with the values in a commutative unital C⁎-algebra. A precise proof of a theorem of Jarosz concerning isometries on spaces of continuous functions is exhibited.
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issn 2314-8896
2314-8888
language English
publishDate 2018-01-01
publisher Wiley
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series Journal of Function Spaces
spelling doaj-art-e26b7ccf5db04d5ca75b4c55c77019f72025-08-20T02:21:14ZengWileyJournal of Function Spaces2314-88962314-88882018-01-01201810.1155/2018/80853048085304Hermitian Operators and Isometries on Banach Algebras of Continuous Maps with Values in Unital Commutative C⁎-AlgebrasOsamu Hatori0Department of Mathematics, Faculty of Science, Niigata University, Niigata 950-2181, JapanWe study isometries on algebras of the Lipschitz maps and the continuously differentiable maps with the values in a commutative unital C⁎-algebra. A precise proof of a theorem of Jarosz concerning isometries on spaces of continuous functions is exhibited.http://dx.doi.org/10.1155/2018/8085304
spellingShingle Osamu Hatori
Hermitian Operators and Isometries on Banach Algebras of Continuous Maps with Values in Unital Commutative C⁎-Algebras
Journal of Function Spaces
title Hermitian Operators and Isometries on Banach Algebras of Continuous Maps with Values in Unital Commutative C⁎-Algebras
title_full Hermitian Operators and Isometries on Banach Algebras of Continuous Maps with Values in Unital Commutative C⁎-Algebras
title_fullStr Hermitian Operators and Isometries on Banach Algebras of Continuous Maps with Values in Unital Commutative C⁎-Algebras
title_full_unstemmed Hermitian Operators and Isometries on Banach Algebras of Continuous Maps with Values in Unital Commutative C⁎-Algebras
title_short Hermitian Operators and Isometries on Banach Algebras of Continuous Maps with Values in Unital Commutative C⁎-Algebras
title_sort hermitian operators and isometries on banach algebras of continuous maps with values in unital commutative c algebras
url http://dx.doi.org/10.1155/2018/8085304
work_keys_str_mv AT osamuhatori hermitianoperatorsandisometriesonbanachalgebrasofcontinuousmapswithvaluesinunitalcommutativecalgebras