Polynomials in the Volterra and Ritt operators

Dashdondog Tsedenbayar, and Jaroslav Zemánek. "Polynomials in the Volterra and Ritt operators." Banach Center Publications 67.1 (2005): 385-390. <http://eudml.org/doc/282339>.

@article{DashdondogTsedenbayar2005,
abstract = {We continue the paper [Ts] on the boundedness of polynomials in the Volterra operator. This provides new ways of constructing power-bounded operators. It seems interesting to point out that a similar procedure applies to the operators satisfying the Ritt resolvent condition: compare Theorem 5 and Theorem 9 below.},
author = {Dashdondog Tsedenbayar, Jaroslav Zemánek},
journal = {Banach Center Publications},
keywords = {Volterra operator; polynomial; power boundedness; Ritt condition; Kreiss condition; resolvent},
language = {eng},
number = {1},
pages = {385-390},
title = {Polynomials in the Volterra and Ritt operators},
url = {http://eudml.org/doc/282339},
volume = {67},
year = {2005},
}

TY - JOUR
AU - Dashdondog Tsedenbayar
AU - Jaroslav Zemánek
TI - Polynomials in the Volterra and Ritt operators
JO - Banach Center Publications
PY - 2005
VL - 67
IS - 1
SP - 385
EP - 390
AB - We continue the paper [Ts] on the boundedness of polynomials in the Volterra operator. This provides new ways of constructing power-bounded operators. It seems interesting to point out that a similar procedure applies to the operators satisfying the Ritt resolvent condition: compare Theorem 5 and Theorem 9 below.
LA - eng
KW - Volterra operator; polynomial; power boundedness; Ritt condition; Kreiss condition; resolvent
UR - http://eudml.org/doc/282339
ER -