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

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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Veröffentlicht in:Journal of function spaces 2018-01, Vol.2018 (2018), p.1-14
1. Verfasser: Hatori, Osamu
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Banach spaces
Continuity (mathematics)
Norms
Operators (mathematics)
Theorems
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Beschreibung
Zusammenfassung: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.
ISSN:2314-8896
2314-8888
DOI:10.1155/2018/8085304