On powers of \(p\)-hyponormal and log-hyponormal operators
type: Item
instance of: scholarly article
title: On powers of \(p\)-hyponormal and log-hyponormal operators
zbMATH Open document ID: 0967.47009
DOI: 10.1155/S1025583400000199
author: Takayuki Furuta
author: Masahiro Yanagida
published in: Journal of Inequalities and Applications
publication date: 2000-11-06T00:00:00Z
full work available at URL: https://eudml.org/doc/121179
review text: A bounded linear operator \(T\) on a Hilbert space \({\mathcal H}\) is said to be \(p\)-hyponormal for \(p>0\) if \((T^* T)^p\geq (TT^*)^p\) and \(T\) is said to be log-hyponormal if \(T\) is invertible and \(\log T^*T\geq \log TT^*\). In this paper, the authors give some inequalities between the powers of \(p\)-hyponormal operators and also log-hyponormal operators.
reviewed by: Takashi Yoshino
Mathematics Subject Classification ID: 47A63
Mathematics Subject Classification ID: 47B20
zbMATH DE Number: 1526344
zbMATH Keywords: \(p\)-hyponormal operators
zbMATH Keywords: log-hyponormal operators
MaRDI profile type: Publication
OpenAlex ID: W2102148502
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description: scientific article; zbMATH DE number 1526344