Abstract
This chapter is devoted to operators of the type A=D+W, where D is a normal boundedly invertible operator in a separable Hilbert space H, and W has the following property: V:=D -1 W is a Volterra operator in H. If, in addition, A has a maximal resolutions of the identity, then it is called a relatively P-triangular operator. Below we derive estimates for the resolvents of various relatively P-triangular operators and investigate spectrum perturbations of such operators.
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© 2003 Springer-Verlag Berlin Heidelberg
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Gil’, M.I. (2003). 11 Relatively P-Triangular 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_11
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DOI: https://doi.org/10.1007/978-3-540-45225-6_11
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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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