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ArticleOriginal scientific text

Title

On local automorphisms and mappings that preserve idempotents

Authors 1, 2, 1, 2

Affiliations

  1. Department of Mathematics, University of Maribor, PF, Koroška 160, 62000 Maribor, Slovenia
  2. University of Maribor, TF, Smetanova 17, 62000 Maribor, Slovenia

Abstract

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.

Bibliography

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Studia Mathematica
1995/113/2
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Pages:
101-108
Main language of publication
English
Received
1993-06-09
Accepted
1994-09-12
Published
1995
Exact and natural sciences