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Noncommuting Domination in Krein Spaces Via Commutators of Block Operator Matrices
Authors:Micha? Wojtylak
Institution:(1) Instytut Matematyki, Uniwersytet Jagielloński, Reymonta 4, 30-059 Kraków, Poland
Abstract:The commutators of 2 × 2 block operator matrices with (unbounded) operator entries are investigated. The matrix representation of a symmetric operator in a Krein space is exploited. As a consequence, the domination result due to Cichoń, Stochel and Szafraniec is extended to the case of Krein spaces.
Keywords:Primary 47B50  Secondary 47B25  47B47
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