On Banach-Stone type theorems in uniform multiplicative subgroups of \(C(K)\)-spaces

DOI10.1016/S0252-9602(18)30855-5zbMath1438.46036OpenAlexW2898463059MaRDI QIDQ2313183

Yun Bai Dong, Pei-Kee Lin, Ben Tuo Zheng

Publication date: 18 July 2019

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0252-9602(18)30855-5

zbMATH Keywords

composition operatorBanach-Stone theoremŠilov boundary

Mathematics Subject Classification ID

Isometric theory of Banach spaces (46B04) Banach spaces of continuous, differentiable or analytic functions (46E15) Rings and algebras of continuous, differentiable or analytic functions (46E25)

Related Items (2)

Isometries between generalized Nachbin weighted spaces: a Banach-Stone type theorem ⋮ Best constants of Banach-Stone type theorems in subgroups of 𝐶(𝐾)

Cites Work

• Weighted composition operators between Dirichlet spaces
• Collectively compact composition operator sequences between Bergman and Hardy spaces
• On Šilov boundaries for subspaces of continuous functions
• Multiplicatively spectrum-preserving maps of function algebras
• Uniform algebra isomorphisms and peripheral multiplicativity
• Characterizations of isometric isomorphisms between uniform algebras via nonlinear range-preserving properties
• Continuous mappings induced by isometries of spaces of continuous functions
• Linear isometries between subspaces of continuous functions
• Applications of the Theory of Boolean Rings to General Topology
• Function Values as Boundary Integrals
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