Local automorphisms of standard operator algebras

DOI10.1016/j.jmaa.2010.05.038zbMath1202.47040OpenAlexW2031692533MaRDI QIDQ990822

Peter Šemrl

Publication date: 1 September 2010

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2010.05.038

zbMATH Keywords

local automorphismstandard operator algebra

Mathematics Subject Classification ID

Linear operators on Banach algebras (47B48) Automorphisms of selfadjoint operator algebras (46L40) Transformers, preservers (linear operators on spaces of linear operators) (47B49)

Related Items (4)

Local automorphisms of finitary incidence algebras ⋮ Bilocal automorphisms of \(\mathcal{T}_\infty(F)\) ⋮ 2-local Lie *-automorphisms on factors ⋮ 2-local triple homomorphisms on von Neumann algebras and JBW*-triples

Cites Work

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• Selected preserver problems on algebraic structures of linear operators and on function spaces
• Additive mappings decreasing rank one
• Local derivations
• Representations, automorphisms, and derivations of some operator algebras
• On the existence of a fundamental total and bounded biorthogonal sequence in every separable Banach space, and related constructions of uniformly bounded orthonormal systems in L²
• On local automorphisms and mappings that preserve idempotents

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