On topological reflexivity of the groups of \(^*\)-automorphisms and surjective isometries of \({\mathcal B}(H)\)
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Publication:2365010
DOI10.1007/BF01189101zbMath0866.47027OpenAlexW2092415940MaRDI QIDQ2365010
Lajos Molnár, Charles J. K. Batty
Publication date: 13 July 1997
Published in: Archiv der Mathematik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf01189101
Abstract operator algebras on Hilbert spaces (47L30) Automorphisms of selfadjoint operator algebras (46L40) Transformers, preservers (linear operators on spaces of linear operators) (47B49)
Related Items (10)
2-local triple derivations on von Neumann algebras ⋮ Local derivations and local automorphisms. ⋮ A SPHERICAL VERSION OF THE KOWALSKI–SŁODKOWSKI THEOREM AND ITS APPLICATIONS ⋮ Local automorphisms of the sets of states and effects on a Hilbert space ⋮ Weak-local derivations and homomorphisms on C*-algebras ⋮ 2-local triple homomorphisms on von Neumann algebras and JBW*-triples ⋮ Reflexivity of the automorphism and isometry groups of the suspension of \({\mathcal B}({\mathcal H})\) ⋮ On topological reflexivity of the spaces of derivations on operator algebras ⋮ Weak-2-local symmetric maps on \(C^\ast\)-algebras ⋮ A reflexivity problem concerning the 𝐶*-algebra 𝐶(𝑋)⊗ℬ(ℋ)
Cites Work
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- Characterizations of derivations on some normed algebras with involution
- Local derivations
- Isometries of operator algebras
- Reflexivity, Algebraic Reflexivity and Linear Interpolation
- Mappings which Preserve Idempotents, Local Automorphisms, and Local Derivations
- On the Jordan Structure of C ∗ -Algebras
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