The concept of k-step full backward extension for subnormal operators is adapted to the context of completely hyperexpansive operators. The question of existence of k-step full backward extension is solved within this class of operators with the help of an operator version of the Levy-Khinchin formula. Some new phenomena in comparison with subnormal operators are found and related classes of operators are discussed as well.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm173-3-2,
author = {Zenon J. Jab\l o\'nski and Il Bong Jung and Jan Stochel},
title = {Backward extensions of hyperexpansive operators},
journal = {Studia Mathematica},
volume = {173},
year = {2006},
pages = {233-257},
zbl = {1100.47018},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm173-3-2}
}
Zenon J. Jabłoński; Il Bong Jung; Jan Stochel. Backward extensions of hyperexpansive operators. Studia Mathematica, Tome 173 (2006) pp. 233-257. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm173-3-2/