Algebraic reflexivity of some subsets of the isometry group

DOI10.1016/j.laa.2008.04.024zbMath1153.47061OpenAlexW2053001134MaRDI QIDQ947614

B. E. Eshmatov

Publication date: 6 October 2008

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2008.04.024

zbMATH Keywords

isometry groupalgebraic reflexivitygeneralized bicircular projections

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Linear spaces of operators (47L05)

Related Items (14)

Reflexivity of sets of isometries on bounded variation function spaces ⋮ Structures of generalized 3-circular projections for symmetric norms ⋮ Generalized 3-circular projections for unitary congruence invariant norms ⋮ Generalized bicircular projections on JB\(^*\)-triples ⋮ Algebraic reflexivity of isometries on spaces of continuously differentiable functions ⋮ Generalized tricircular projections on minimal norm ideals in \(B(\mathcal{H})\) ⋮ Generalized 𝑛-circular projections on JB*-triples ⋮ A Survey on Isometries Between Lipschitz Spaces ⋮ Algebraic reflexivity of diameter-preserving linear bijections between \(C(X)\)-spaces ⋮ Projections in the convex hull of three surjective isometries on \(C(\Omega )\) ⋮ Algebraic reflexivity of sets of bounded operators on vector valued Lipschitz functions ⋮ Algebraic reflexivity of the isometry group of some spaces of Lipschitz functions ⋮ Algebraic reflexivity of sets of bounded linear operators on absolutely continuous function spaces ⋮ Survey of last ten years of work done in India in some selected areas of functional analysis and operator theory

Cites Work

• Unnamed Item
• Selected preserver problems on algebraic structures of linear operators and on function spaces
• \(G\)-invariant norms and bicircular projections
• Generalized bi-circular projections on \({\mathcal C}(\Omega, X)\)
• Intersection properties of balls in spaces of compact operators
• Bicontractive projections and reordering of Lsub(p)-spaces
• Local isometries of function spaces
• Local surjective isometries of function spaces
• Generalized bi-circular projections
• On local automorphisms of group algebras of compact groups

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