A weak vector-valued Banach-stone theorem for Choquet simplices

DOI10.1007/s00013-021-01629-6OpenAlexW3166145372MaRDI QIDQ2232143

J. Rondoš, Jiří Spurný

Publication date: 4 October 2021

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-021-01629-6

zbMATH Keywords

simplexvector-valued affine functionsweak Banach-Stone theorem

Mathematics Subject Classification ID

Linear operators on function spaces (general) (47B38) Convex sets in topological linear spaces; Choquet theory (46A55)

Cites Work

• Unnamed Item
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• Borel sets and functions in topological spaces
• A generalization of functions of the first class
• Isomorphisms of spaces of continuous affine functions
• Weak forms of Banach-Stone theorem for \(C_{0}(K,X)\) spaces via the \(\alpha\)th derivatives of \(K\)
• Isomorphisms of subspaces of vector-valued continuous functions
• Integral representation theory. Applications to convexity, Banach spaces and potential theory
• The minimum principle for affine functions and isomorphisms of continuous affine function spaces
• Banach space theory. The basis for linear and nonlinear analysis
• On bases and unconditional convergence of series in Banach spaces
• Sur la reproductibilite des espaces $l_p$
• On a Theorem of Cambern
• On Topological Isomorphisms of C 0 (X) and the Cardinal Number of X
• Isomorphisms of spaces of affine continuous complex functions
• Affine Products of Simplexes.

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