Gaps of operators
type: Item
instance of: scholarly article
title: Gaps of operators
zbMATH Open document ID: 1077.47024
author: Il Bong Jung
author: Pil Sang Lim
author: Sang Soo Park
published in: Journal of Mathematical Analysis and Applications
publication date: 2005-04-18T00:00:00Z
review text: An operator on \(\mathbb{C}^2\otimes l_2(\mathbb{Z})\) is defined by a matrix where the only nonzero entries are two \(2\times 2\)-matrices shifted on the first subdiagonal, one of which is a diagonal matrix with two nonnegative eigenvalues. Varying the eigenvalues, examples are obtained to distinguish the classes of \(p\)-hyponormal, \(w\)-hyponormal and absolute-\(p\)-paranormal operators.
reviewed by: Gerhard Garske
Mathematics Subject Classification ID: 47B20
zbMATH DE Number: 2157555
zbMATH Keywords: \(p\)-hyponormal operator
zbMATH Keywords: \(w\)-hyponormal operator
zbMATH Keywords: \(\infty\)-hyponormal operator
zbMATH Keywords: absolute-\(p\)-paranormal operator
zbMATH Keywords: normaloid operator
MaRDI profile type: Publication
full work available at URL: j.jmaa.2004.09.021
OpenAlex ID: W2084568762
cites work: On p-hyponormal operators for \(0<p<1\)
cites work: \(w\)-hyponormal operators
cites work: \(\omega\)-hyponormal operators. II
cites work: Q4419562
cites work: Q4257793
cites work: Aluthge transforms of operators
cites work: Q2754925
cites work: Spectral theory of hyponormal operators
DOI: 10.1016/J.JMAA.2004.09.021
description: scientific article; zbMATH DE number 2157555