Algebraic reflexivity of sets of bounded linear operators on absolutely continuous function spaces

DOI10.7153/oam-2019-13-63zbMath1439.46007OpenAlexW2974234437MaRDI QIDQ5205423

Maliheh Hosseini

Publication date: 11 December 2019

Published in: Operators and Matrices (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/oam-2019-13-63

zbMATH Keywords

isometry groupabsolutely continuous functionalgebraic reflexivitygeneralized bi-circular projectionlocal isometriesisometric reflection

Mathematics Subject Classification ID

Spaces of vector- and operator-valued functions (46E40) Spaces of operators; tensor products; approximation properties (46B28) Isometric theory of Banach spaces (46B04)

Related Items (9)

Reflexivity of sets of isometries on bounded variation function spaces ⋮ Local isometries on subspaces and subalgebras of function spaces ⋮ Local isometries on subspaces of continuous functions ⋮ 2-local isometries between spaces of functions of bounded variation ⋮ Approximate local isometries on spaces of absolutely continuous functions ⋮ Projections in the convex hull of two isometries of absolutely continuous function spaces ⋮ Projections In the convex hull of three isometries on absolutely continuous function spaces ⋮ A remark on isometries of absolutely continuous spaces ⋮ Local and 2-local isometries between absolutely continuous function spaces

Cites Work

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• Algebraic reflexivity of C(X,E) and Cambern's theorem
• Isometries of certain Banach algebras

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