Decompositions and asymptotic limit for bicontractions

Marek Kosiek, and Laurian Suciu. "Decompositions and asymptotic limit for bicontractions." Annales Polonici Mathematici 105.1 (2012): 43-64. <http://eudml.org/doc/280346>.

@article{MarekKosiek2012,
abstract = {The asymptotic limit of a bicontraction T (that is, a pair of commuting contractions) on a Hilbert space 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 $S_\{T*\}=S²_\{T*\}$.},
author = {Marek Kosiek, Laurian Suciu},
journal = {Annales Polonici Mathematici},
keywords = {contraction; bicontraction; bi-isometry; Wold type decomposition},
language = {eng},
number = {1},
pages = {43-64},
title = {Decompositions and asymptotic limit for bicontractions},
url = {http://eudml.org/doc/280346},
volume = {105},
year = {2012},
}

TY - JOUR
AU - Marek Kosiek
AU - Laurian Suciu
TI - Decompositions and asymptotic limit for bicontractions
JO - Annales Polonici Mathematici
PY - 2012
VL - 105
IS - 1
SP - 43
EP - 64
AB - The asymptotic limit of a bicontraction T (that is, a pair of commuting contractions) on a Hilbert space 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 $S_{T*}=S²_{T*}$.
LA - eng
KW - contraction; bicontraction; bi-isometry; Wold type decomposition
UR - http://eudml.org/doc/280346
ER -