Extreme points and isometries on vector-valued Lipschitz spaces

DOI10.1016/j.jmaa.2011.03.062zbMath1228.46020OpenAlexW2114441268MaRDI QIDQ542864

Richard J. Fleming, James E. Jamison, Maria Fernanda Botelho

Publication date: 20 June 2011

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2011.03.062

zbMATH Keywords

extreme pointsisometryLipschitz function

Mathematics Subject Classification ID

Spaces of vector- and operator-valued functions (46E40) Lipschitz (Hölder) classes (26A16) Isometric theory of Banach spaces (46B04) Banach spaces of continuous, differentiable or analytic functions (46E15)

Related Items (18)

Isometries on spaces of vector valued Lipschitz functions ⋮ Isometries between completely regular vector-valued function spaces ⋮ Erratum to: ``Surjective isometries on spaces of vector valued continuous and Lipschitz functions ⋮ Banach-Stone theorem for quaternion-valued continuous function spaces ⋮ Hermitian operators on Banach algebras of vector-valued Lipschitz maps ⋮ Isometries on the vector valued little Bloch space ⋮ From Helgermites to Lipschitz: Remembering Jim Jamison ⋮ 2-local standard isometries on vector-valued Lipschitz function spaces ⋮ A Survey on Isometries Between Lipschitz Spaces ⋮ Isometries on spaces of absolutely continuous vector-valued functions ⋮ Derivations and cohomologies of Lipschitz algebras ⋮ Hermitian operators and isometries on Banach algebras of continuous maps with values in unital commutative \(C^\ast\)-algebras ⋮ A new approach for characterizing linear isometries between Lipschitz spaces ⋮ LINEAR SURJECTIVE ISOMETRIES BETWEEN VECTOR-VALUED FUNCTION SPACES ⋮ Isometries on spaces of absolutely continuous functions in a noncompact framework ⋮ A remark on isometries of absolutely continuous spaces ⋮ Linear operators with range in a vector-valued H ⋮ Differentiable functions and nice operators

Cites Work

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• Noncompactness and noncompleteness in isometries of Lipschitz spaces
• M-structure and the Banach-Stone theorem
• Isometries between Banach spaces of Lipschitz functions
• Banach spaces of Lipschitz functions
• Linear isometries between spaces of vector-valued Lipschitz functions
• Isometries Between Function Spaces
• An Introduction to Banach Space Theory
• Isometries of Noncompact Lipschitz Spaces
• Extreme Points and Linear Isometries of the Banach Space of Lipschitz Functions
• Extreme points in tensor products and a theorem of de Leeuw

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