Local isometries of function spaces

DOI10.1007/s00209-002-0452-4zbMath1027.46008OpenAlexW1999251552MaRDI QIDQ1566357

T. S. S. R. K. Rao, Krzysztof Jarosz

Publication date: 2 June 2003

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00209-002-0452-4

zbMATH Keywords

function spacelocal isometriesalgebraically reflexive space

Mathematics Subject Classification ID

Isometric theory of Banach spaces (46B04) Banach spaces of continuous, differentiable or analytic functions (46E15)

Related Items (15)

Reflexivity of sets of isometries on bounded variation function spaces ⋮ Local isometries on subspaces of continuous functions ⋮ Automorphisms of algebras of smooth functions and equivalent functions ⋮ Algebraic reflexivity of diameter-preserving linear bijections between \(C(X)\)-spaces ⋮ On algebraic reflexivity of sets of surjective isometries between spaces of weak\(^\ast\) continuous functions ⋮ Algebraic reflexivity of some subsets of the isometry group ⋮ A note on the algebraic reflexivity of the group of surjective isometries of \(\mathcal K(C(K))\) ⋮ Homomorphisms between algebras of Lipschitz functions with the values in function algebras ⋮ Algebraic reflexivity of sets of bounded operators on vector valued Lipschitz functions ⋮ Algebraic reflexivity of the isometry group of some spaces of Lipschitz functions ⋮ 2-local automorphisms of operator algebras ⋮ Algebraic reflexivity of sets of bounded linear operators on absolutely continuous function spaces ⋮ On 2-local isometries on continuous vector-valued function spaces ⋮ Local isometries on spaces of continuous functions ⋮ Local and 2-local isometries between absolutely continuous function spaces

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