SMALL-BOUND ISOMORPHISMS OF FUNCTION SPACES

DOI10.1017/S1446788720000129zbMath1493.46016OpenAlexW3010945180MaRDI QIDQ5164812

Jiří Spurný, J. Rondoš

Publication date: 15 November 2021

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

Full work available at URL: https://doi.org/10.1017/s1446788720000129

zbMATH Keywords

function spaceBanach-Stone theoremCambern theorem

Mathematics Subject Classification ID

Isometric theory of Banach spaces (46B04) Banach spaces of continuous, differentiable or analytic functions (46E15) Convex sets in topological linear spaces; Choquet theory (46A55)

Related Items (2)

An Amir-Cambern theorem for subspaces of Banach lattice-valued continuous functions ⋮ Nonlinear diameter preserving maps on function spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• An optimal nonlinear extension of Banach-Stone theorem
• Borel sets and functions in topological spaces
• A generalization of functions of the first class
• Perturbations of Banach algebras
• Isomorphisms of spaces of continuous affine functions
• Small isomorphisms of C(X,E) spaces
• A remark on the Amir-Cambern theorem
• M-structure and the Banach-Stone theorem
• Isomorphisms of spaces of continuous vector-valued functions
• A second-dual method for C(X) isomorphisms
• Perfect images of absolute Souslin and absolute Borel Tychonoff spaces
• Integral representation theory. Applications to convexity, Banach spaces and potential theory
• The minimum principle for affine functions and isomorphisms of continuous affine function spaces
• On isomorphisms of continuous function spaces
• Uniqueness of complex representing measures on the Choquet boundary
• Banach space theory. The basis for linear and nonlinear analysis
• Isomorphic vector-valued Banach-Stone theorems for subspaces
• Isomorphisms of spaces of continuous affine functions on compact convex sets with Lindelöf boundaries
• Into Isomorphisms of Spaces of Continuous Functions
• A Choquet theorem for general subspaces of vector-valued functions
• An isomorphic Banach-Stone theorem
• Vector-Valued Choquet Theory and Transference of Boundary Measures
• A Bound-Two Isomorphism Between C(X) Banach Spaces
• 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
• A Generalized Banach-Stone Theorem
• A Norm Preserving Complex Choquet Theorem.

This page was built for publication: SMALL-BOUND ISOMORPHISMS OF FUNCTION SPACES