On local automorphisms and mappings that preserve idempotents

• Autorzy: Matej Brešar , Peter Šemrl
• Języki publikacji: EN

Abstrakty

EN

Let B(H) be the algebra of all bounded linear operators on a Hilbert space H. Automorphisms and antiautomorphisms are the only bijective linear mappings θ of B(H) with the property that θ(P) is an idempotent whenever P ∈ B(H) is. In case H is separable and infinite-dimensional, every local automorphism of B(H) is an automorphism.

Kategorie tematyczne

• 47B49: Transformers, preservers (operators on spaces of operators)
• 46L40: Automorphisms

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 1995
• Tom: 113
• Numer: 2
• Strony: 101-108

Daty

wydano

1995

otrzymano

1993-06-09

poprawiono

1994-09-12

Twórcy

autor

Matej Brešar

• Department of Mathematics, University of Maribor, PF, Koroška 160, 62000 Maribor, Slovenia
• University of Maribor, TF, Smetanova 17, 62000 Maribor, Slovenia

autor

Peter Šemrl

• Department of Mathematics, University of Maribor, PF, Koroška 160, 62000 Maribor, Slovenia
• University of Maribor, TF, Smetanova 17, 62000 Maribor, Slovenia

Bibliografia

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