Real-linear isometries and jointly norm-additive maps on function algebras

DOI10.1007/S00009-015-0607-2zbMath1356.46038OpenAlexW1121004730MaRDI QIDQ305853

Maliheh Hosseini, Juan J. Font

Publication date: 31 August 2016

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10234/159350

zbMATH Keywords

function algebrareal-linear isometrynorm-additive maps

Mathematics Subject Classification ID

Banach algebras of continuous functions, function algebras (46J10) Linear operators on Banach algebras (47B48) Isometric theory of Banach spaces (46B04)

Related Items (4)

Norm-additive maps on the positive definite cone of a \(C^{*}\)-algebra ⋮ Real-multilinear isometries on function algebras ⋮ On extension of norm-additive maps between the positive unit spheres of \(\ell_q (\ell_p)\) ⋮ Generalized 2-local isometries of spaces of continuously differentiable functions

Cites Work

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• Real linear isometries between function algebras. II
• Additively spectral-radius preserving surjections between unital semisimple commutative Banach algebras
• Real-linear isometries between function algebras
• Norm-linear and norm-additive operators between uniform algebras
• On Šilov boundaries for subspaces of continuous functions
• Real-linear isometries between subspaces of continuous functions
• Real-linear isometries between certain subspaces of continuous functions
• Norm-additive in modulus maps between function algebras
• 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
• Linear isometries of subspaces of spaces of continuous functions
• Characterizations of isometric isomorphisms between uniform algebras via nonlinear range-preserving properties
• Continuous mappings induced by isometries of spaces of continuous functions
• Isomorphisms between commutative Banach algebras with an application to rings of analytic functions
• Boundaries and Peak Points for Banach Function Algebras
• Linear isometries between subspaces of continuous functions
• Applications of the Theory of Boolean Rings to General Topology

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