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Compact perturbations of isometries
Author(s):
Ioana
Serban;
Flavius
Turcu
Journal:
Proc. Amer. Math. Soc.
135
(2007),
1175-1180.
MSC (2000):
Primary 47A55;
Secondary 47A20, 47B07
Posted:
October 18, 2006
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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.
References:
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- Chafiq Benhida and Dan Timotin, Functional models and finite-dimensional perturbations of the shift, Integral Equations Operator Theory 29 (1997), no. 2, 187-196. MR 1472098 (98d:47032)
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- -, Finite rank perturbations of contractions, Integral Equations Operator Theory 36 (2000), no. 3, 253-268. MR 1753419 (2001f:47011)
- [Cla72]
- Douglas N. Clark, One dimensional perturbations of restricted shifts, J. Analyse Math. 25 (1972), 169-191. MR 0301534 (46:692)
- [CT04]
- Gilles Cassier and Dan Timotin, Power boundedness and similarity to contractions for some perturbations of isometries, Journal of Mathematical Analysis and Applications 293 (2004), 160-180. MR 2052538 (2004m:47044)
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- Yoshihiro Nakamura, One-dimensional perturbations of isometries, Integral Equations Operator Theory 9 (1986), no. 2, 286-294. MR 0837520 (87k:47031)
- [Nak93]
- -, One-dimensional perturbations of the shift, Integral Equations Operator Theory 17 (1993), no. 3, 373-403. MR 1237960 (94h:47019)
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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:
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
Posted:
October 18, 2006
Communicated by:
Joseph A. Ball
Copyright of article:
Copyright
2006,
American Mathematical Society
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