Backward extensions of hyperexpansive operators

Zenon J. Jabłoński, Il Bong Jung, and Jan Stochel. "Backward extensions of hyperexpansive operators." Studia Mathematica 173.3 (2006): 233-257. <http://eudml.org/doc/284493>.

@article{ZenonJ2006,
abstract = {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.},
author = {Zenon J. Jabłoński, Il Bong Jung, Jan Stochel},
journal = {Studia Mathematica},
keywords = {hyperexpansive and completely hyperexpansive operators; -isometry operators; unilateral weighted shifts; backward extension; Levy-Khinchin formula},
language = {eng},
number = {3},
pages = {233-257},
title = {Backward extensions of hyperexpansive operators},
url = {http://eudml.org/doc/284493},
volume = {173},
year = {2006},
}

TY - JOUR
AU - Zenon J. Jabłoński
AU - Il Bong Jung
AU - Jan Stochel
TI - Backward extensions of hyperexpansive operators
JO - Studia Mathematica
PY - 2006
VL - 173
IS - 3
SP - 233
EP - 257
AB - 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.
LA - eng
KW - hyperexpansive and completely hyperexpansive operators; -isometry operators; unilateral weighted shifts; backward extension; Levy-Khinchin formula
UR - http://eudml.org/doc/284493
ER -