Generalized weak peripheral multiplicativity in algebras of Lipschitz functions

DOI10.2478/s11533-013-0243-7zbMath1298.46043OpenAlexW2047762782MaRDI QIDQ1955616

Aaron Luttman, Kristopher Lee, Moisés Villegas-Vallecillos, Antonio Jiménez-Vargas

Publication date: 14 June 2013

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

Full work available at URL: https://doi.org/10.2478/s11533-013-0243-7

zbMATH Keywords

Lipschitz algebraperipheral multiplicativityspectral preservers

Mathematics Subject Classification ID

Banach algebras of continuous functions, function algebras (46J10) Linear operators on Banach algebras (47B48) Ideals, maximal ideals, boundaries (46J20) Banach spaces of continuous, differentiable or analytic functions (46E15) Rings and algebras of continuous, differentiable or analytic functions (46E25)

Related Items

Almost weighted composition operators between Banach function algebras ⋮ Nonlinear spectral radius preservers between certain non-unital Banach function algebras ⋮ Transformations preserving norms of means of positive operators and nonnegative functions ⋮ Weakly compact composition operators on spaces of Lipschitz functions ⋮ Norm-additive in modulus maps between function algebras ⋮ Mappings onto multiplicative subsets of function algebras and spectral properties of their products

Cites Work

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• Generalizations of spectrally multiplicative surjections between uniform algebras
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• Norm conditions for uniform algebra isomorphisms
• Norm-linear and norm-additive operators between uniform algebras
• Lipschitz algebras and peripherally-multiplicative maps
• Some characterizations of the automorphisms of $B(H)$ and $C(X)$
• Multiplicatively spectrum-preserving maps of function algebras
• Weakly-peripherally multiplicative conditions and isomorphisms between uniform algebras
• Uniform algebra isomorphisms and peripheral multiplicativity
• Characterizations of isometric isomorphisms between uniform algebras via nonlinear range-preserving properties
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