Abstract
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.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2003 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Gil’, M.I. (2003). 7 Functions of Non-compact 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_7
Download citation
DOI: https://doi.org/10.1007/978-3-540-45225-6_7
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-20246-2
Online ISBN: 978-3-540-45225-6
eBook Packages: Springer Book Archive