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Two characterisations of additive *-automorphisms of B(H)

Published online by Cambridge University Press:  17 April 2009

Lajos Molnár
Lajos Molnár
Affiliation:
Institute of MathematicsLajos Kossuth University4010 DebrecenHungary e-mail: molnarl@math.klte.hu
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Abstract

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Let H be a complex Hilbert space and let B(H) denote the algebra of all bounded linear operators on H. In this paper we give two necessary and sufficient conditions for an additive bijection of B(H) to be a *-automorphism. Both of the results in the paper are related to the so-called preserver problems.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 53 , Issue 3 , June 1996 , pp. 391 - 400
Copyright
Copyright © Australian Mathematical Society 1996

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