Real-linear isometries between certain subspaces of continuous functions

• Autorzy: Arya Jamshidi , Fereshteh Sady
• Języki publikacji: EN

Abstrakty

EN

In this paper we first consider a real-linear isometry T from a certain subspace A of C(X) (endowed with supremum norm) into C(Y) where X and Y are compact Hausdorff spaces and give a result concerning the description of T whenever A is a uniform algebra on X. The result is improved for the case where T(A) is, in addition, a complex subspace of C(Y). We also give a similar description for the case where A is a function space on X and the range of T is a real subspace of C(Y) satisfying a ceratin separating property. Next similar results are obtained for real-linear isometries between spaces of Lipschitz functions on compact metric spaces endowed with a certain complete norm.

Słowa kluczowe

EN

Real-linear isometry; Function space; Uniform algebra; Choquet boundary; Lipschitz space

Kategorie tematyczne

• 47B48: Operators on Banach algebras
• 46J20: Ideals, maximal ideals, boundaries
• 46J10: Banach algebras of continuous functions, function algebras

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2013
• Tom: 11
• Numer: 11
• Strony: 2034-2043

Daty

wydano

2013-11-01

online

2013-08-23

Twórcy

autor

Arya Jamshidi

• Tarbiat Modares University

autor

Fereshteh Sady

• Tarbiat Modares University

Bibliografia

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Identyfikatory

DOI

10.2478/s11533-013-0303-z