On local automorphisms and mappings that preserve idempotents

DOI10.4064/sm-113-2-101-108zbMath0835.47020OpenAlexW1590596963MaRDI QIDQ4835907

Matej Brešar, Peter Šemrl

Publication date: 8 June 1995

Published in: Studia Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/216163

zbMATH Keywords

idempotentlocal automorphismantiautomorphismsalgebra of all bounded linear operators on a Hilbert space

Mathematics Subject Classification ID

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 (25)

Additive mappings that preserve rank one nilpotent operators. ⋮ Linear maps on operator algebras that preserve elements annihilated by a polynomial ⋮ 2-local triple derivations on von Neumann algebras ⋮ Local automorphisms of finitary incidence algebras ⋮ Bilocal automorphisms of \(\mathcal{T}_\infty(F)\) ⋮ Local Jordan *-derivations of standard operator algebras ⋮ Linear maps preserving invertibility or related spectral properties ⋮ Bilocal \(^\ast\)-automorphisms of \(B(H)\) ⋮ Local derivations and local automorphisms. ⋮ A Survey on Isometries Between Lipschitz Spaces ⋮ Local automorphisms and derivations on $\mathcal {B}(H)$ ⋮ Bilocal *-automorphisms of \(B(H)\) satisfying the 3-local property ⋮ Algebraic reflexivity of isometry groups and automorphism groups of some operator structures ⋮ Local automorphisms of nest subalgebras of factor von Neumann algebras ⋮ Local automorphisms of standard operator algebras ⋮ Local automorphisms of the sets of states and effects on a Hilbert space ⋮ On Jordan all-derivable points of \(\mathcal B(\mathcal H)\) ⋮ On maps sending rank-κ idempotents to idempotents ⋮ 2-local triple homomorphisms on von Neumann algebras and JBW*-triples ⋮ 2-local superderivations on a superalgebra \(M_n(\mathbb{C})\). ⋮ Reflexivity of the automorphism and isometry groups of the suspension of \({\mathcal B}({\mathcal H})\) ⋮ Linear maps and additive maps that preserve operators annihilated by a polynomial ⋮ Additive idempotence preservers ⋮ Weak-2-local symmetric maps on \(C^\ast\)-algebras ⋮ Local derivations on certain CSL algebras

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