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Bulletin of the London Mathematical Society Advance Access originally published online on June 25, 2008
Bulletin of the London Mathematical Society 2008 40(5):807-816; doi:10.1112/blms/bdn059
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© 2008 London Mathematical Society

A criterion for selfadjointness in Krein spaces

Michal Wojtylak

Institute of Mathematics
Jagiellonian University
Reymonta 4
30-059 Kraków
Poland

Received 7 November 2007. Revision received 2 April 2008.

The main outcome of this paper is a tool for investigating selfadjointness of symmetric operators in a Krein space. Our result covers certain previous theorems in domination theory in a Hilbert and Krein space. It is also applied to obtain a sufficient condition for selfadjointness of a first-order differential operator.

2000 Mathematics Subject Classification 47B50 (primary), 47B25, 47F05, 47B47 (secondary).


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