On the Uniqueness of a Minimal Norm Representative of an Operator in the Commutant of the Compressed Shift

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Title: On the Uniqueness of a Minimal Norm Representative of an Operator in the Commutant of the Compressed Shift
Author: Foias, Ciprian ; Tannenbaum, Allen R.
Abstract: In this note we give a new criterion guaranteeing the uniqueness of a minimal norm representative of a bounded linear operator which commutes with a finite multiplicity shift. We moreover give examples which show that if the hypotheses of our theorem are violated then the minimal norm representative may not be unique.
Description: ©1987 American Mathematical Society. First published in Proceedings of the American Mathematical Society, Vol. 101, 1987 by the American Mathematical Society DOI: 10.1090/S0002-9939-1987-0911034-6
Type: Article
URI: http://hdl.handle.net/1853/33012
ISSN: 0002-9939
Citation: Ciprian Foias and Allen Tannenbaum, "On the uniqueness of a minimal norm representative of an operator in the commutant of the compressed shift," Proceedings of the American Mathematical Society, Vol. 101, No. 4, December 1987, 687-692
Date: 1987-12
Contributor: University of Minnesota. Dept. of Electrical Engineering
Universiṭat Ben-Guryon ba-Negev
Indiana University, Bloomington. Dept. of Mathematics
Publisher: Georgia Institute of Technology
American Mathematical Society
Subject: Compressed shift
Commutant
Hardy spaces

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