A generalized Banach-Stone theorem for \(C_{0}(K,X)\) spaces via the modulus of convexity of \(X^\ast\)

DOI10.1016/J.JMAA.2017.01.009zbMath1365.46008OpenAlexW2571825834MaRDI QIDQ511209

Fabiano C. Cidral, Vinícius Morelli Cortes, Elói Medina Galego

Publication date: 14 February 2017

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.2017.01.009

zbMATH Keywords

isometriesBanach-Stone theorem

Mathematics Subject Classification ID

Spaces of vector- and operator-valued functions (46E40) Isometric theory of Banach spaces (46B04)

Related Items (2)

Some aspects of generalized Zbăganu and James constant in Banach spaces ⋮ On new moduli related to the generalization of the parallelogram law

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• The James constant for the \(l_{3}\)-\(l_{1}\) space
• On the uniform convexity of \(L^p\) and \(l^p\)
• The modulus of convexity in normed linear spaces
• Triangles inscribed in a semicircle, in Minkowski planes, and in normed spaces
• Optimal extensions of the Banach-Stone theorem
• Geometric mean and triangles inscribed in a semicircle in Banach spaces
• When does the equality \(J(X^*)=J(X)\) hold for a two-dimensional Banach space \(X\)?
• On isomorphisms of continuous function spaces
• Isomorphisms of \(C_ 0(Y)\) onto \(C(X)\)
• The space of bounded maps into a Banach space
• On James and Jordan–von Neumann constants and the normal structure coefficient of Banach spaces
• A generalization of the Banach-Stone theorem
• On two classes of Banach spaces with uniform normal structure
• A Bound-Two Isomorphism Between C(X) Banach Spaces
• On the moduli of convexity and smoothness
• On Isomorphisms with Small Bound
• Uniformly Convex Spaces
• Applications of the Theory of Boolean Rings to General Topology

This page was built for publication: A generalized Banach-Stone theorem for \(C_{0}(K,X)\) spaces via the modulus of convexity of \(X^\ast\)