On Polynomially Riesz Operators

A bounded linear operator 𝐴 on a Banach space 𝑋 is said to be "polynomially Riesz", if there exists a nonzero complex polynomial 𝑝 such that the image 𝑝(𝐴) is Riesz. In this paper we give some characterizations of these operators.

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Bibliographic Details
Published in:	Filomat Vol. 28; no. 1; pp. 197 - 205
Main Authors:	Zlatanović, Snežana Č. Živković, Djordjević, Dragan S., Harte, Robin E., Duggal, Bhagwati P.
Format:	Journal Article
Language:	English
Published:	Faculty of Sciences and Mathematics, University of Niš 01-01-2014
Subjects:	Algebra Banach space Eigenvalues Fredholm equations Hilbert spaces Mathematical theorems Paranormal operators Polynomials Spectral theory
Online Access:	Get full text
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Description
Summary:	A bounded linear operator 𝐴 on a Banach space 𝑋 is said to be "polynomially Riesz", if there exists a nonzero complex polynomial 𝑝 such that the image 𝑝(𝐴) is Riesz. In this paper we give some characterizations of these operators.
ISSN:	0354-5180 2406-0933
DOI:	10.2298/FIL1401197Z