Weighted Shift Operators Which are m-Isometries

Weighted Shift Operators Which are m-Isometries

We give a characterization of m -isometric operators on a separable Hilbert space. Moreover, we characterize the unilateral weighted shift operators which are m -isometries.

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Veröffentlicht in:Integral equations and operator theory 2010-11, Vol.68 (3), p.301-312
Hauptverfasser: Bermúdez, Teresa, Martinón, Antonio, Negrín, Emilio
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Mathematics
Mathematics and Statistics
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Zusammenfassung:We give a characterization of m -isometric operators on a separable Hilbert space. Moreover, we characterize the unilateral weighted shift operators which are m -isometries.
ISSN:0378-620X
1420-8989
DOI:10.1007/s00020-010-1801-z