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8 Bounded Perturbations of Nonselfadjoint Operators

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Operator Functions and Localization of Spectra

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1830))

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Abstract

In the present chapter we consider the operators of the kind A+B, where A is a P-triangular operator and B is a bounded operator. We investigate the invertibility conditions and bounds for the spectra of such operators. In particular, we consider perturbations of the von Neumann - Schatten operators and operators with von Neumann - Schatten Hermitian components.

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© 2003 Springer-Verlag Berlin Heidelberg

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Gil’, M.I. (2003). 8 Bounded Perturbations of Nonselfadjoint Operators. In: Operator Functions and Localization of Spectra. Lecture Notes in Mathematics, vol 1830. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-45225-6_8

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  • DOI: https://doi.org/10.1007/978-3-540-45225-6_8

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-20246-2

  • Online ISBN: 978-3-540-45225-6

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