Uniformly $\mu$-Continuous Topologies on Orlicz-Bochner Spaces

Krzysztof Feledziak. "Uniformly $\mu $-Continuous Topologies on Orlicz-Bochner Spaces." Commentationes Mathematicae 46.1 (2006): null. <http://eudml.org/doc/292319>.

@article{KrzysztofFeledziak2006,
abstract = {We examine the topological properties of Orlicz-Bochner spaces $L^\varphi (X)$ (over a σ-finite measure space $(\Omega , \Sigma , \mu ))$, where $\varphi $ is an Orlicz function (not necessarily convex) and $X$ is a real Banach space. We continue the study of some class of locally convex topologies on $L^\varphi (X)$, called uniformly $\mu $-continuous topologies. In particular, the generalized mixed topology $\mathcal \{T\}_I^\varphi (X)$ on $L^\varphi (X)$ (in the sense of Turpin) is considered.},
author = {Krzysztof Feledziak},
journal = {Commentationes Mathematicae},
keywords = {Orlicz spaces; Orlicz-Bochner spaces; locally solid topologies; generalized mixed topologies; uniformly $\varphi $-summable sets; uniformly $\varphi $-integrable sets},
language = {eng},
number = {1},
pages = {null},
title = {Uniformly $\mu $-Continuous Topologies on Orlicz-Bochner Spaces},
url = {http://eudml.org/doc/292319},
volume = {46},
year = {2006},
}

TY - JOUR
AU - Krzysztof Feledziak
TI - Uniformly $\mu $-Continuous Topologies on Orlicz-Bochner Spaces
JO - Commentationes Mathematicae
PY - 2006
VL - 46
IS - 1
SP - null
AB - We examine the topological properties of Orlicz-Bochner spaces $L^\varphi (X)$ (over a σ-finite measure space $(\Omega , \Sigma , \mu ))$, where $\varphi $ is an Orlicz function (not necessarily convex) and $X$ is a real Banach space. We continue the study of some class of locally convex topologies on $L^\varphi (X)$, called uniformly $\mu $-continuous topologies. In particular, the generalized mixed topology $\mathcal {T}_I^\varphi (X)$ on $L^\varphi (X)$ (in the sense of Turpin) is considered.
LA - eng
KW - Orlicz spaces; Orlicz-Bochner spaces; locally solid topologies; generalized mixed topologies; uniformly $\varphi $-summable sets; uniformly $\varphi $-integrable sets
UR - http://eudml.org/doc/292319
ER -