7 Functions of Non-compact Operators

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


The present chapter is concerned with the estimates for the norms of resolvents and analytic functions of so called P-triangular operators. Roughly speaking, a P-triangular operator is a sum of a normal operator and a compact quasinilpotent one, having a sufficiently rich set of invariant subspaces. In particular, we consider the following classes of P-triangular operators: operators whose Hermitian components are compact operators, and operators, which are represented as sums of unitary operators and compact ones.


Regular Point Unbounded Operator Diagonal Part Volterra Operator Closed Convex Hull 
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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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