Multilinear isometries on function algebras

DOI10.1080/03081087.2014.945446zbMath1333.46049OpenAlexW2040011470MaRDI QIDQ4981972

Maliheh Hosseini, Juan J. Font, Manuel Sanchis

Publication date: 23 March 2015

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10234/153587

zbMATH Keywords

Choquet boundaryuniform algebrafunction algebrapeaking function\(k\)-linear isometryadditive Bishop lemma

Mathematics Subject Classification ID

Banach algebras of continuous functions, function algebras (46J10) Linear operators on function spaces (general) (47B38) Linear composition operators (47B33) Isometric theory of Banach spaces (46B04)

Related Items (4)

Real-linear isometries on spaces of functions of bounded variation ⋮ Multilinear isometries on spaces of vector-valued continuous functions ⋮ Real-multilinear isometries on function algebras ⋮ Linear and multilinear isometries in a noncompact framework

Cites Work

• Norm-linear and norm-additive operators between uniform algebras
• On Šilov boundaries for subspaces of continuous functions
• Bilinear isometries on subspaces of continuous functions
• MULTIPLICATIVELY SPECTRUM-PRESERVING MAPS OF FUNCTION ALGEBRAS. II
• A bilinear version of Holsztyński's theorem on isometries of C(X)-spaces
• Characterizations of isometric isomorphisms between uniform algebras via nonlinear range-preserving properties
• Boundaries and Peak Points for Banach Function Algebras
• Linear isometries between subspaces of continuous functions

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