Decompositions and asymptotic limit for bicontractions
(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∗.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/2856870
- author
- Suciu, Laurian LU and Kosiek, Marek
- organization
- publishing date
- 2012
- 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
- 2022-03-27 06:47:47
@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}}, }