Isometries between Banach spaces of Lipschitz functions

DOI10.1007/BF02761849zbMath0459.46017OpenAlexW1968723448MaRDI QIDQ1152065

Eddy Mayer-Wolf

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1007/bf02761849

zbMATH Keywords

Lipschitz functionsextreme points of the unit dual ballsisometric classificationisomorphically equivalent Banach spaces

Mathematics Subject Classification ID

Isomorphic theory (including renorming) of Banach spaces (46B03) Banach spaces of continuous, differentiable or analytic functions (46E15)

Related Items (19)

Hermitian operators on Banach algebras of Lipschitz functions ⋮ Rate of convergence in the martingale central limit theorem in the space C(S) ⋮ Duality for locally compact Lipschitz spaces ⋮ Surjective isometries on spaces of vector valued continuous and Lipschitz functions ⋮ Isometric composition operators on Lipschitz spaces ⋮ Noncompactness and noncompleteness in isometries of Lipschitz spaces ⋮ 2-iso-reflexivity of pointed Lipschitz spaces ⋮ Projections and averages of isometries on Lipschitz spaces ⋮ Norm-attaining composition operators on Lipschitz spaces ⋮ Essential norm of composition operators on Banach spaces of Hölder functions ⋮ A Survey on Isometries Between Lipschitz Spaces ⋮ Algebraic reflexivity of sets of bounded operators on vector valued Lipschitz functions ⋮ Extreme points and isometries on vector-valued Lipschitz spaces ⋮ Characterizations and extensions of Lipschitz-\(\alpha\) operators ⋮ Hermitian operators and isometries on Banach algebras of continuous maps with values in unital commutative \(C^\ast\)-algebras ⋮ Linear isometries between spaces of vector-valued Lipschitz functions ⋮ Homomorphisms on real-valued little Lipschitz function spaces ⋮ Maps which preserve norms of non-symmetrical quotients between groups of exponentials of Lipschitz functions ⋮ Linear bijections preserving the Hölder seminorm

Cites Work

• Unnamed Item
• Sobolev imbedding operators and the nonisomorphism of certain Banach spaces
• A note on Banach spaces of Lipschitz functions
• \(\Lambda\)-manifolds
• Lipschitz spaces
• Banach spaces of Lipschitz functions
• On the isometries of spaces of Hölder continuous functions
• Banach Spaces of Lipschitz Functions and Vector-Valued Lipschitz Functions
• The Structure of Ideals and Point Derivations in Banach Algebras of Lipschitz Functions

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