We introduce and discuss a class of operators, to be referred to as operators close to isometries. The Bergman-type operators, 2-hyperexpansions, expansive p-isometries, and certain alternating hyperexpansions are main examples of such operators. We establish a few decomposition theorems for operators close to isometries. Applications are given to the theory of p-isometries and of hyperexpansive operators.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm186-3-6,
author = {Sameer Chavan},
title = {On operators close to isometries},
journal = {Studia Mathematica},
volume = {187},
year = {2008},
pages = {275-293},
zbl = {1147.47019},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm186-3-6}
}
Sameer Chavan. On operators close to isometries. Studia Mathematica, Tome 187 (2008) pp. 275-293. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm186-3-6/