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 .
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ap105-1-5,
author = {Marek Kosiek and Laurian Suciu},
title = {Decompositions and asymptotic limit for bicontractions},
journal = {Annales Polonici Mathematici},
volume = {105},
year = {2012},
pages = {43-64},
zbl = {1266.47033},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap105-1-5}
}
Marek Kosiek; Laurian Suciu. Decompositions and asymptotic limit for bicontractions. Annales Polonici Mathematici, Tome 105 (2012) pp. 43-64. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap105-1-5/