Extreme Point Methods and Banach-Stone Theorems

DOI10.1017/S1446788700003505zbMath1036.46004MaRDI QIDQ4432921

Hasan Al-Halees, Richard J. Fleming

Publication date: 2003

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

zbMATH Keywords

nice operatorsBanach-Stone theoremsfunction modules

Mathematics Subject Classification ID

Spaces of vector- and operator-valued functions (46E40) Linear composition operators (47B33) Isometric theory of Banach spaces (46B04)

Related Items

Banach-Stone theorems for spaces of vector bundle continuous sections ⋮ Unnamed Item ⋮ Nice surjections on spaces of operators ⋮ Banach-Stone theorem for quaternion-valued continuous function spaces ⋮ Nice operators into \(L_1\)-preduals ⋮ Nice operators into \(G\)-spaces ⋮ Isometries between generalized Nachbin weighted spaces: a Banach-Stone type theorem ⋮ On non-linear \(\varepsilon\)-isometries between the positive cones of certain continuous function spaces ⋮ Real-linear surjective isometries between function spaces ⋮ Nice operators and surjective isometries ⋮ Unnamed Item ⋮ A note on nonlinear isometries between vector-valued function spaces ⋮ LINEAR SURJECTIVE ISOMETRIES BETWEEN VECTOR-VALUED FUNCTION SPACES ⋮ Extreme contractions on continuous vector-valued function spaces ⋮ Differentiable functions and nice operators

Cites Work

• Unnamed Item
• On extremely regular function spaces
• On mappings of spaces of functions with values in a Banach space
• On some geometric properties of suns
• The space of bounded maps into a Banach space
• Extreme Points in Function Spaces
• Theorems of Krein-Milman Type for Certain Convex Sets of Operators
• Applications of the Theory of Boolean Rings to General Topology
• Lectures on Choquet's theorem

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