Get 20M+ Full-Text Papers For Less Than $1.50/day. Start a 14-Day Trial for You or Your Team.

Learn More →

A Panorama of Modern Operator Theory and Related TopicsCanonical Models for Bi-isometries

A Panorama of Modern Operator Theory and Related Topics: Canonical Models for Bi-isometries [A canonical model, analogous to the one for contraction operators, is introduced for bi-isometries, two commuting isometries on a Hilbert space. This model involves a contractive analytic operator-valued function on the unit disk. Various complete nonunitarity conditions are considered as well as bi-isometries for which both isometries are shifts. Several families of examples are introduced and classified.] http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png

A Panorama of Modern Operator Theory and Related TopicsCanonical Models for Bi-isometries

Part of the Operator Theory: Advances and Applications Book Series (volume 218)
Editors: Dym, Harry; Kaashoek, Marinus A.; Lancaster, Peter; Langer, Heinz; Lerer, Leonid
Bercovici, H.; Douglas, R. G.; Foias, C.
A Panorama of Modern Operator Theory and Related Topics — Jan 3, 2012
Download PDF
29 pages

Loading next page...
 
/lp/springer-journals/a-panorama-of-modern-operator-theory-and-related-topics-canonical-nMRaG520bJ
Publisher
Springer Basel
Copyright
© Springer Basel AG 2012
ISBN
978-3-0348-0220-8
Pages
177 –205
DOI
10.1007/978-3-0348-0221-5_7
Publisher site
See Chapter on Publisher Site

Abstract

[A canonical model, analogous to the one for contraction operators, is introduced for bi-isometries, two commuting isometries on a Hilbert space. This model involves a contractive analytic operator-valued function on the unit disk. Various complete nonunitarity conditions are considered as well as bi-isometries for which both isometries are shifts. Several families of examples are introduced and classified.]

Published: Jan 3, 2012

Keywords: Bi-isometry, characteristic function; functional model; pivotal operator; similarity.

There are no references for this article.