Zero product preserving maps on Banach algebras of Lipschitz functions

DOI10.1016/J.JMAA.2010.02.041zbMath1205.46030OpenAlexW2013736488MaRDI QIDQ982570

J. Extremera, Armando R. Villena, Jerónimo Alaminos

Publication date: 7 July 2010

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2010.02.041

zbMATH Keywords

separating mapalgebra of Lipschitz functionsmap preserving zero productweighted Fourier algebra

Mathematics Subject Classification ID

Spaces of vector- and operator-valued functions (46E40) Banach algebras of continuous functions, function algebras (46J10) Linear operators on function spaces (general) (47B38)

Related Items (7)

Orthogonally additive polynomials on Banach function algebras ⋮ Additive jointly separating maps and ring homomorphisms ⋮ Disjointness preserving Fredholm operators between little Lipschitz algebras ⋮ Noncompactness and noncompleteness in isometries of Lipschitz spaces ⋮ Fredholm separating maps on continuous function spaces ⋮ Orthogonally additive polynomials on Fourier algebras ⋮ Zero product preserving functionals on \(C(\varOmega)\)-valued spaces of functions

Cites Work

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• Approximately zero-product-preserving maps
• Selected preserver problems on algebraic structures of linear operators and on function spaces
• Zero product preserving maps on \(C^1[0,1\)]
• Biseparating maps between Lipschitz function spaces
• Disjointness preserving operators between little Lipschitz algebras
• Sets of synthesis and sets of interpolation for weighted Fourier algebras
• Banach algebras of Lipschitz functions
• Maps preserving zero products
• Characterizing Jordan maps on C*-algebras through zero products
• Characterizing homomorphisms and derivations on C*-algebras

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