Linear isometries between spaces of vector-valued Lipschitz functions

DOI10.1090/S0002-9939-08-09733-5zbMath1171.46006MaRDI QIDQ3623352

Moisés Villegas-Vallecillos, Antonio Jiménez-Vargas

Publication date: 17 April 2009

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

linear isometryBanach-Stone theoremLipschitz function

Mathematics Subject Classification ID

Spaces of vector- and operator-valued functions (46E40) Isometric theory of Banach spaces (46B04) Banach spaces of continuous, differentiable or analytic functions (46E15)

Related Items (11)

Isometries on spaces of vector valued Lipschitz functions ⋮ Isometries between completely regular vector-valued function spaces ⋮ Surjective isometries on absolutely continuous vector valued function spaces ⋮ Noncompactness and noncompleteness in isometries of Lipschitz spaces ⋮ A Survey on Isometries Between Lipschitz Spaces ⋮ Algebraic reflexivity of isometry groups of algebras of Lipschitz maps ⋮ Algebraic reflexivity of sets of bounded operators on vector valued Lipschitz functions ⋮ Extreme points and isometries on vector-valued Lipschitz spaces ⋮ Generalised weighted composition operators on Maeda-Ogasawara spaces ⋮ Hermitian operators and isometries on Banach algebras of continuous maps with values in unital commutative \(C^\ast\)-algebras ⋮ LINEAR SURJECTIVE ISOMETRIES BETWEEN VECTOR-VALUED FUNCTION SPACES

Cites Work

• Unnamed Item
• Isometries between Banach spaces of Lipschitz functions
• The space of bounded maps into a Banach space
• Banach spaces of Lipschitz functions
• Isometries Between Function Spaces
• A Holsztyński theorem for spaces of continuous vector-valued functions
• Isometries of Noncompact Lipschitz Spaces
• Linear isometries of subspaces of spaces of continuous functions
• Extreme Points and Linear Isometries of the Banach Space of Lipschitz Functions

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