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11 Relatively P-Triangular Operators

  • Michael I. Gil’
Chapter
  • 364 Downloads
Part of the Lecture Notes in Mathematics book series (LNM, volume 1830)

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-1W 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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Copyright information

© Springer-Verlag Berlin Heidelberg 2003

Authors and Affiliations

  • Michael I. Gil’
    • 1
  1. 1.Department of MathematicsBen Gurion University of NegevBeer-ShevaIsrael

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