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Decompositions and asymptotic limit for bicontractions

Suciu, Laurian LU and Kosiek, Marek (2012) In Annales Polonici Mathematici 105(1). p.43-64
Abstract
The asymptotic limit of a bicontraction T (that is, a pair of commuting contractions) on a Hilbert space H is used to describe a Nagy–Foiaş–Langer type decomposition of T. This decomposition is refined in the case when the asymptotic limit of T is an orthogonal projection. The case of a bicontraction T consisting of hyponormal (even quasinormal) contractions is also considered, where we have ST∗=S2T∗.
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author
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Annales Polonici Mathematici
volume
105
issue
1
pages
43 - 64
publisher
Institute of Mathematics, Polish Academy of Sciences
external identifiers
  • wos:000306888300005
  • scopus:84861117685
ISSN
1730-6272
DOI
10.4064/ap105-1-5
language
English
LU publication?
yes
id
bfa4f31e-3277-42d5-bf57-f7b27438a0b4 (old id 2856870)
date added to LUP
2012-09-21 17:19:45
date last changed
2017-01-01 03:26:35
@article{bfa4f31e-3277-42d5-bf57-f7b27438a0b4,
  abstract     = {The asymptotic limit of a bicontraction T (that is, a pair of commuting contractions) on a Hilbert space H is used to describe a Nagy–Foiaş–Langer type decomposition of T. This decomposition is refined in the case when the asymptotic limit of T is an orthogonal projection. The case of a bicontraction T consisting of hyponormal (even quasinormal) contractions is also considered, where we have ST∗=S2T∗.},
  author       = {Suciu, Laurian and Kosiek, Marek},
  issn         = {1730-6272},
  language     = {eng},
  number       = {1},
  pages        = {43--64},
  publisher    = {Institute of Mathematics, Polish Academy of Sciences},
  series       = {Annales Polonici Mathematici},
  title        = {Decompositions and asymptotic limit for bicontractions},
  url          = {http://dx.doi.org/10.4064/ap105-1-5},
  volume       = {105},
  year         = {2012},
}