On unbounded hyponormal operators
type: Item
instance of: scholarly article
title: On unbounded hyponormal operators
zbMATH Open document ID: 0684.47020
DOI: 10.1007/BF02386376
author: Jan Janas
published in: Arkiv för Matematik
publication date: 1989-01-01T00:00:00Z
review text: A (not necessarily bounded) linear operator T on a Hilbert space is called hyponormal, if \({\mathcal D}(T)\subset {\mathcal D}(T^*)\) and \(\| T^*x\| \leq \| Tx\|\) for \(x\in {\mathcal D}(T)\). After the statement of elementary properties hyponormal operators with spectrum contained in an angle are studied with respect to the generated semigroups and accretivity. For some differential operators and for composition operators in \(L^ 2(\mu)\) conditions implying hyponormality are given.
reviewed by: Gerhard Garske
Mathematics Subject Classification ID: 47B20
Mathematics Subject Classification ID: 47D03
Mathematics Subject Classification ID: 47E05
zbMATH DE Number: 4120852
zbMATH Keywords: hyponormal operators with spectrum contained in an angle
zbMATH Keywords: generated semigroups
zbMATH Keywords: accretivity
zbMATH Keywords: composition operators
MaRDI profile type: Publication
cites work: Equality of Spectra of Quasi-Similar Hyponormal Operators
cites work: Q3697651
cites work: Inductive limit of operators and its applications
cites work: Q3772766
cites work: Q5526485
cites work: Q4066072
cites work: Subnormality and generalized commutation relations
cites work: Q4720264
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description: scientific article; zbMATH DE number 4120852