Commutators and numerical ranges of powers of operators

Elias Shiu

doi:10.2140/pjm.1976.65.517

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Commutators and numerical ranges of powers of operators

Journal article

Open access

Peer reviewed

Commutators and numerical ranges of powers of operators

Elias Shiu

Pacific journal of mathematics, Vol.65(2), pp.517-523

08/01/1976

DOI: 10.2140/pjm.1976.65.517

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Abstract

If 0 does not lie in the closure of the numerical range of any positive integral power of a Hubert space operator T, then an odd power of T is normal. If, in addition, T is convexoid, then T itself is normal; in fact, T is the direct sum of at most three rotated positive operators. A version of these results is given in terms of commutators. © 1976 by Pacific Journal of Mathematics.

Details

Title: Subtitle: Commutators and numerical ranges of powers of operators
Creators: Elias Shiu
Resource Type: Journal article
Publication Details: Pacific journal of mathematics, Vol.65(2), pp.517-523
DOI: 10.2140/pjm.1976.65.517
ISSN: 0030-8730
eISSN: 1945-5844
Language: English
Date published: 08/01/1976
Academic Unit: Statistics and Actuarial Science
Record Identifier: 9984257736102771

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