Essential approximate point spectra and Weyl's theorem for operator matrices
type: Item
instance of: scholarly article
title: Essential approximate point spectra and Weyl's theorem for operator matrices
zbMATH Open document ID: 1083.47006
author: Xiaohong Cao
author: Bin Meng
published in: Journal of Mathematical Analysis and Applications
publication date: 2005-04-18T00:00:00Z
review text: The authors characterize the essential approximate point spectrum and Weyl spectrum of a \(2\times 2\) upper triangular operator matrix \(M_C\), where \(M_C=\left(\begin{smallmatrix} A&C\\ 0&B\end{smallmatrix}\right)\) is an operator acting on the Hilbert space \(\mathcal{H}\oplus \mathcal{K}\). In addition, the authors consider Weyl's theorem, Browder's theorem, a-Weyl's theorem and a-Browder's theorem for \(M_C\).
reviewed by: Woo Young Lee
Mathematics Subject Classification ID: 47A10
Mathematics Subject Classification ID: 47A53
zbMATH DE Number: 2157714
zbMATH Keywords: a-Weyl's theorem
zbMATH Keywords: upper triangular operator matrix
zbMATH Keywords: essential approximate point spectrum
zbMATH Keywords: Weyl spectrum
zbMATH Keywords: Weyl's theorem
zbMATH Keywords: Browder's theorem
MaRDI profile type: Publication
full work available at URL: j.jmaa.2004.09.053
OpenAlex ID: W2037423239
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DOI: 10.1016/J.JMAA.2004.09.053
description: scientific article; zbMATH DE number 2157714