Polynomial approximations and universality

A. Mouze. "Polynomial approximations and universality." Studia Mathematica 196.2 (2010): 103-120. <http://eudml.org/doc/285551>.

@article{A2010,
abstract = {We give another version of the recently developed abstract theory of universal series to exhibit a necessary and sufficient condition of polynomial approximation type for the existence of universal elements. This certainly covers the case of simultaneous approximation with a sequence of continuous linear mappings. In the case of a sequence of unbounded operators the same condition ensures existence and density of universal elements. Several known results, stronger statements or new results can be deduced in a unified way.},
author = {A. Mouze},
journal = {Studia Mathematica},
keywords = {universal series; polynomial approximation; universal Taylor series; universal Dirichlet series; simultaneous approximation},
language = {eng},
number = {2},
pages = {103-120},
title = {Polynomial approximations and universality},
url = {http://eudml.org/doc/285551},
volume = {196},
year = {2010},
}

TY - JOUR
AU - A. Mouze
TI - Polynomial approximations and universality
JO - Studia Mathematica
PY - 2010
VL - 196
IS - 2
SP - 103
EP - 120
AB - We give another version of the recently developed abstract theory of universal series to exhibit a necessary and sufficient condition of polynomial approximation type for the existence of universal elements. This certainly covers the case of simultaneous approximation with a sequence of continuous linear mappings. In the case of a sequence of unbounded operators the same condition ensures existence and density of universal elements. Several known results, stronger statements or new results can be deduced in a unified way.
LA - eng
KW - universal series; polynomial approximation; universal Taylor series; universal Dirichlet series; simultaneous approximation
UR - http://eudml.org/doc/285551
ER -