Essential norms of weighted composition operators on the space ${\mathscr{H}}^{\infty }$ of Dirichlet series

Pascal Lefèvre. "Essential norms of weighted composition operators on the space $ℋ^{∞}$ of Dirichlet series." Studia Mathematica 191.1 (2009): 57-66. <http://eudml.org/doc/284715>.

@article{PascalLefèvre2009,
abstract = {We estimate the essential norm of a weighted composition operator relative to the class of Dunford-Pettis operators or the class of weakly compact operators, on the space $ℋ^\{∞\}$ of Dirichlet series. As particular cases, we obtain the precise value of the generalized essential norm of a composition operator and of a multiplication operator.},
author = {Pascal Lefèvre},
journal = {Studia Mathematica},
keywords = {composition operator; essential norm; Dirichlet series; weakly compact operator; Dunford-Pettis operator},
language = {eng},
number = {1},
pages = {57-66},
title = {Essential norms of weighted composition operators on the space $ℋ^\{∞\}$ of Dirichlet series},
url = {http://eudml.org/doc/284715},
volume = {191},
year = {2009},
}

TY - JOUR
AU - Pascal Lefèvre
TI - Essential norms of weighted composition operators on the space $ℋ^{∞}$ of Dirichlet series
JO - Studia Mathematica
PY - 2009
VL - 191
IS - 1
SP - 57
EP - 66
AB - We estimate the essential norm of a weighted composition operator relative to the class of Dunford-Pettis operators or the class of weakly compact operators, on the space $ℋ^{∞}$ of Dirichlet series. As particular cases, we obtain the precise value of the generalized essential norm of a composition operator and of a multiplication operator.
LA - eng
KW - composition operator; essential norm; Dirichlet series; weakly compact operator; Dunford-Pettis operator
UR - http://eudml.org/doc/284715
ER -