Definitizable products of selfadjoint operators

Authors

  • Tomas Ya. Azizov,

    Corresponding author
    1. Voronezh State University, Department of Mathematics, Universitetskaya pl. 1, 394006 Voronezh, Russia
    • Voronezh State University, Department of Mathematics, Universitetskaya pl. 1, 394006 Voronezh, Russia
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  • Mikhail Denisov,

    Corresponding author
    1. Voronezh State University, Department of Mathematics, Universitetskaya pl. 1, 394006 Voronezh, Russia
    • Voronezh State University, Department of Mathematics, Universitetskaya pl. 1, 394006 Voronezh, Russia
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  • Friedrich Philipp

    Corresponding author
    1. Technische Universität Berlin, Institut für Mathematik, MA 4-1, Straße des 17. Juni 136, 10623 Berlin, Germany
    • Technische Universität Berlin, Institut für Mathematik, MA 4-1, Straße des 17. Juni 136, 10623 Berlin, Germany
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Abstract

We extend the notion of definitizability from selfadjoint operators in Krein spaces to products of selfadjoint operators in Hilbert spaces and show that the spectral properties essentially remain the same. (© 2012 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim)

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