Geodesic
Decompositions and asymptotic limit for bicontractions
Marek Kosiek1 ; Laurian Suciu2
1 Wydział Matematyki i Informatyki Uniwersytet Jagielloński Łojasiewicza 6 30-348 Kraków, Poland
2 Department of Mathematics “Lucian Blaga” University of Sibiu Dr. Ion Ratiu 5-7 Sibiu 550012, Romania
Annales Polonici Mathematici, Tome 105 (2012) no. 1, pp. 43-64

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

The asymptotic limit of a bicontraction $T$ (that is, a pair of commuting contractions) on a Hilbert space $\mathcal{H}$ 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 $S_{T^*}=S_{T^*}^2$.
DOI : 10.4064/ap105-1-5
Keywords: asymptotic limit bicontraction pair commuting contractions hilbert space mathcal describe nagy foia langer type decomposition decomposition refined asymptotic limit orthogonal projection bicontraction consisting hyponormal even quasinormal contractions considered where have * *

Marek Kosiek 1 ; Laurian Suciu 2

1 Wydział Matematyki i Informatyki Uniwersytet Jagielloński Łojasiewicza 6 30-348 Kraków, Poland
2 Department of Mathematics “Lucian Blaga” University of Sibiu Dr. Ion Ratiu 5-7 Sibiu 550012, Romania 
@article{10_4064_ap105_1_5,
     author = {Marek Kosiek and Laurian Suciu},
     title = {Decompositions and asymptotic limit for bicontractions},
     journal = {Annales Polonici Mathematici},
     pages = {43--64},
     publisher = {mathdoc},
     volume = {105},
     number = {1},
     year = {2012},
     doi = {10.4064/ap105-1-5},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/ap105-1-5/}
}
TY  - JOUR
AU  - Marek Kosiek
AU  - Laurian Suciu
TI  - Decompositions and asymptotic limit for bicontractions
JO  - Annales Polonici Mathematici
PY  - 2012
SP  - 43
EP  - 64
VL  - 105
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/ap105-1-5/
DO  - 10.4064/ap105-1-5
LA  - en
ID  - 10_4064_ap105_1_5
ER  - 
%0 Journal Article
%A Marek Kosiek
%A Laurian Suciu
%T Decompositions and asymptotic limit for bicontractions
%J Annales Polonici Mathematici
%D 2012
%P 43-64
%V 105
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/ap105-1-5/
%R 10.4064/ap105-1-5
%G en
%F 10_4064_ap105_1_5
Marek Kosiek; Laurian Suciu. Decompositions and asymptotic limit for bicontractions. Annales Polonici Mathematici, Tome 105 (2012) no. 1, pp. 43-64. doi: 10.4064/ap105-1-5

Cité par Sources :