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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
and
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
2016-04-01 10:16:54
date last changed
2025-10-14 13:04:26
@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}},
  doi          = {{10.4064/ap105-1-5}},
  volume       = {{105}},
  year         = {{2012}},
}