On [m, C]-Isometric Operators

In this paper we introduce an [m, C]-isometric operatorTon a complex Hilbert space H and study its spectral properties. We show that ifTis an [m, C]-isometric operator andNis ann-nilpotent operator, respectively, thenT + Nis an [m+ 2n– 2,C]-isometric operator. Finally we give a short proof of Duggal...

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Bibliographic Details
Published in:Filomat 2017-01, Vol.31 (7), p.2073-2080
Main Authors: Chō, Muneo, Lee, Ji Eun, Motoyoshi, Haruna
Format: Article
Language:English
Subjects:
Hilbert spaces
Integers
Unit vectors
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Summary:In this paper we introduce an [m, C]-isometric operatorTon a complex Hilbert space H and study its spectral properties. We show that ifTis an [m, C]-isometric operator andNis ann-nilpotent operator, respectively, thenT + Nis an [m+ 2n– 2,C]-isometric operator. Finally we give a short proof of Duggal’s result for tensor product ofm-isometries and give a similar result for [m, C]-isometric operators.
ISSN:0354-5180
2406-0933
DOI:10.2298/fil1707073c