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.
Keywords
- Regular Point
- Unbounded Operator
- Diagonal Part
- Volterra Operator
- Closed Convex Hull
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© 2003 Springer-Verlag Berlin Heidelberg
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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
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DOI: https://doi.org/10.1007/978-3-540-45225-6_7
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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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