Reflexivity of the automorphism and isometry groups of \(C^*\)-algebras in BDF theory

DOI10.1007/PL00000417zbMath1023.47021OpenAlexW2022088934MaRDI QIDQ1973442

Lajos Molnár

Publication date: 20 February 2001

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/pl00000417

zbMATH Keywords

automorphism groupsreflexivityisometry groups\(C^*\)-algebrasalgebraically reflexivetopologically nonreflexive

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) 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 (5)

Algebraic reflexivity of isometries on spaces of continuously differentiable functions ⋮ Kakutani's automorphism theorem for vector-valued bounded holomorphic functions ⋮ A SPHERICAL VERSION OF THE KOWALSKI–SŁODKOWSKI THEOREM AND ITS APPLICATIONS ⋮ Local automorphisms of the sets of states and effects on a Hilbert space ⋮ A reflexivity problem concerning the 𝐶*-algebra 𝐶(𝑋)⊗ℬ(ℋ)

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