Surjective nonsymmetric norm preserving maps between \(\operatorname{Lip}(X,d,\tau)\)-algebras

DOI10.22034/kjm.2024.426471.3059MaRDI QIDQ6583111

Esmat Ahmadloo, Davood Alimohammadi

Publication date: 6 August 2024

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

zbMATH Keywords

uniform normreal Lipschitz algebraLipschitz involutionmultiplicatively norm preserving mapnonsymmetric norm preserving map

Mathematics Subject Classification ID

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

Cites Work

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• Weakly peripherally multiplicative surjections of pointed Lipschitz algebras
• Function spaces and nonsymmetric norm preserving maps
• Hedberg's theorm in real Lipschitz algebras
• Generalized weak peripheral multiplicativity in algebras of Lipschitz functions
• Nonlinear conditions for weighted composition operators between Lipschitz algebras
• Lipschitz algebras and peripherally-multiplicative maps
• Banach algebras of Lipschitz functions
• Some characterizations of the automorphisms of $B(H)$ and $C(X)$
• A multiplicative Banach-Stone theorem
• Multiplicatively spectrum-preserving maps of function algebras
• A Course in Commutative Banach Algebras
• Gleason Parts of Real Function Algebras
• Characterizations of isometric isomorphisms between uniform algebras via nonlinear range-preserving properties
• The Structure of Ideals and Point Derivations in Banach Algebras of Lipschitz Functions

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