Approximate local isometries on spaces of absolutely continuous functions

DOI10.1007/s00025-021-01384-8zbMath1472.46008OpenAlexW3138164025MaRDI QIDQ2038620

Maliheh Hosseini, Antonio Jiménez-Vargas

Publication date: 7 July 2021

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-021-01384-8

zbMATH Keywords

absolutely continuous functionlocal isometryalgebraic reflexivity2-local isometrytopological reflexivity

Mathematics Subject Classification ID

Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) Linear operators on function spaces (general) (47B38) Linear operators on Banach algebras (47B48) Isometric theory of Banach spaces (46B04) Banach spaces of continuous, differentiable or analytic functions (46E15)

Related Items (3)

2-topological reflexivity of sets of isometries between bounded variation function spaces ⋮ A note on generalized tricircular projections on spaces of bounded variation functions ⋮ Isometries and approximate local isometries between \(\mathrm{AC}^p (X)\)-spaces

Cites Work

• Weak-2-local isometries on uniform algebras and Lipschitz algebras
• Isometries on spaces of absolutely continuous vector-valued functions
• Reflexivity of the isometry group of some classical spaces.
• Absolute continuity and existence of solutions to dynamic inclusions in time scales
• 2-local isometries between spaces of functions of bounded variation
• Local isometries on spaces of continuous functions
• Some characterizations of the automorphisms of $B(H)$ and $C(X)$
• Isomorphisms of AC(σ) spaces
• Isometries Between Function Spaces
• Linear Isometries of Spaces of Absolutely Continuous Functions
• Reflexivity of the group of surjective isometries on some Banach spaces
• Functions of bounded variation on compact subsets of the plane
• Algebraic reflexivity of sets of bounded linear operators on absolutely continuous function spaces
• 2-local isometries on function spaces
• Algebraic reflexivity of C(X,E) and Cambern's theorem
• Isometries of certain Banach algebras
• Linear isometries of some function spaces
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