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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Compact perturbations of isometries


Authors: Ioana Serban and Flavius Turcu
Journal: Proc. Amer. Math. Soc. 135 (2007), 1175-1180
MSC (2000): Primary 47A55; Secondary 47A20, 47B07
Published electronically: October 18, 2006
MathSciNet review: 2262923
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Abstract: We give some characterizations of isometries (contractions) which are perturbations with compact operators of a given arbitrary isometry, in terms of certain natural factorizations. As a consequence we obtain general parametric representations of these perturbations.


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Additional Information

Ioana Serban
Affiliation: Université Bordeaux 1, LAPS, Equipe Signal et Image, 351 cours de la Libération, 33405 Talence cedex, France
Email: Ioana.Serban@laps.u-bordeaux1.fr

Flavius Turcu
Affiliation: Université Bordeaux 1, LAPS, Equipe Signal et Image, 351 cours de la Libération, 33405 Talence cedex, France
Email: Flavius.Turcu@laps.u-bordeaux1.fr

DOI: http://dx.doi.org/10.1090/S0002-9939-06-08586-8
PII: S 0002-9939(06)08586-8
Received by editor(s): May 25, 2005
Received by editor(s) in revised form: November 17, 2005
Published electronically: October 18, 2006
Communicated by: Joseph A. Ball
Article copyright: © Copyright 2006 American Mathematical Society