Topological properties of spaces of linear operators on non-locally convex Orlicz spaces

Agnieszka Oelke. "Topological properties of spaces of linear operators on non-locally convex Orlicz spaces." Commentationes Mathematicae 50.2 (2010): null. <http://eudml.org/doc/291716>.

@article{AgnieszkaOelke2010,
abstract = {We study the topological properties of the space $\mathcal \{L\}(L^\varphi , X)$ of all continuous linear operators from an Orlicz space $L^\varphi $ (an Orlicz function $\varphi $ is not necessarily convex) to a Banach space $X$. We provide the space $\mathcal \{L\}(L^\varphi ,X)$ with the Banach space structure. Moreover, we examine the space $\mathcal \{L\}_s (L^\varphi , X)$ of all singular operators from $L^\varphi $ to $X$.},
author = {Agnieszka Oelke},
journal = {Commentationes Mathematicae},
keywords = {Orlicz spaces; linear operators; singular operators},
language = {eng},
number = {2},
pages = {null},
title = {Topological properties of spaces of linear operators on non-locally convex Orlicz spaces},
url = {http://eudml.org/doc/291716},
volume = {50},
year = {2010},
}

TY - JOUR
AU - Agnieszka Oelke
TI - Topological properties of spaces of linear operators on non-locally convex Orlicz spaces
JO - Commentationes Mathematicae
PY - 2010
VL - 50
IS - 2
SP - null
AB - We study the topological properties of the space $\mathcal {L}(L^\varphi , X)$ of all continuous linear operators from an Orlicz space $L^\varphi $ (an Orlicz function $\varphi $ is not necessarily convex) to a Banach space $X$. We provide the space $\mathcal {L}(L^\varphi ,X)$ with the Banach space structure. Moreover, we examine the space $\mathcal {L}_s (L^\varphi , X)$ of all singular operators from $L^\varphi $ to $X$.
LA - eng
KW - Orlicz spaces; linear operators; singular operators
UR - http://eudml.org/doc/291716
ER -