Weyl's theorem for algebraically \(wF(p, r, q)\) operators with \(p, r > 0\) and \(q \geq 1\)
type: Item
instance of: scholarly article
title: Weyl's theorem for algebraically \(wF(p, r, q)\) operators with \(p, r > 0\) and \(q \geq 1\)
zbMATH Open document ID: 1288.47004
published in: Ukrainian Mathematical Journal
publication date: 2012-11-23T00:00:00Z
review text: The author shows that, if an operator \(T\) or its adjoint \(T^{*}\) acting in an infinite-dimensional separable Hilbert space is algebraically \(wF(p,r,q)\) with \(p,r>0\) and \(q\geqslant 1\), then \(f(T)\) satisfies Weyl's theorem for any analytic function \(f\) in an open neighborhood of the spectrum \(\sigma(T)\) of \(T\). The spectral mapping theorem for the Weyl spectrum of \(T\) and for the essential approximate spectrum of \(T\) is established for any analytic function in an open neighborhood of the spectrum of \(T\).
reviewed by: Mohamed Zohry
Mathematics Subject Classification ID: 47A10
Mathematics Subject Classification ID: 47A11
Mathematics Subject Classification ID: 47A53
Mathematics Subject Classification ID: 47A55
zbMATH DE Number: 6110026
zbMATH Keywords: property wF(p,r,q)
zbMATH Keywords: Weyl type theorems
author: Mohammad H. M. Rashid
MaRDI profile type: Publication
full work available at URL: s11253-012-0576-6
OpenAlex ID: W2094720326
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DOI: 10.1007/S11253-012-0576-6
description: scientific article; zbMATH DE number 6110026