Real-linear isometries between function algebras

DOI10.2478/s11533-011-0044-9zbMath1243.46043OpenAlexW4235692962MaRDI QIDQ657390

Takeshi Miura

Publication date: 16 January 2012

Published in: Central European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/s11533-011-0044-9

zbMATH Keywords

isometryChoquet boundaryisomorphismhomeomorphismfunction algebrasurjection

Mathematics Subject Classification ID

Banach algebras of continuous functions, function algebras (46J10) Isometric theory of Banach spaces (46B04)

Related Items (22)

Banach-Stone theorems for spaces of vector bundle continuous sections ⋮ Real-linear isometries and jointly norm-additive maps on function algebras ⋮ Real-linear isometries on spaces of functions of bounded variation ⋮ Nonlinear diameter preserving maps between certain function spaces ⋮ Real-multilinear isometries on function algebras ⋮ Real linear isometries between function algebras. II ⋮ Surjective isometries on the Banach space of continuously differentiable functions ⋮ Exploring new solutions to Tingley’s problem for function algebras ⋮ Surjective isometries on a Banach space of analytic functions with bounded derivatives ⋮ Real-linear isometries between certain subspaces of continuous functions ⋮ Norm-additive in modulus maps between function algebras ⋮ Surjective Real-Linear Uniform Isometries Between Complex Function Algebras ⋮ Mappings onto multiplicative subsets of function algebras and spectral properties of their products ⋮ Real-linear surjective isometries between function spaces ⋮ Isometries of the unitary groups and Thompson isometries of the spaces of invertible positive elements in \(C^\ast\)-algebras ⋮ Real-linear isometries between subspaces of continuous functions ⋮ Surjective isometries on \(C^1\) spaces of uniform algebra valued maps ⋮ 2-local isometries on function spaces ⋮ A note on nonlinear isometries between vector-valued function spaces ⋮ LINEAR SURJECTIVE ISOMETRIES BETWEEN VECTOR-VALUED FUNCTION SPACES ⋮ Generalized 2-local isometries of spaces of continuously differentiable functions ⋮ Maps which preserve norms of non-symmetrical quotients between groups of exponentials of Lipschitz functions

Cites Work

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• Real Characterizations of Function Algebras Amongst Function Spaces
• The Isometries of Some Function Spaces
• A Proof of the Mazur-Ulam Theorem
• MULTIPLICATIVELY SPECTRUM-PRESERVING MAPS OF FUNCTION ALGEBRAS. II
• Isomorphisms between commutative Banach algebras with an application to rings of analytic functions

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