Decomposable sets and Musielak-Orlicz spaces of multifunctions

Andrzej Kasperski. "Decomposable sets and Musielak-Orlicz spaces of multifunctions." Banach Center Publications 68.1 (2005): 71-77. <http://eudml.org/doc/282504>.

@article{AndrzejKasperski2005,
abstract = {We introduce the Musielak-Orlicz space of multifunctions $X_\{m,φ\}$ and the set $S^\{φ\}_\{F\}$ of φ-integrable selections of F. We show that some decomposable sets in Musielak-Orlicz space belong to $X_\{m,φ\}$. We generalize Theorem 3.1 from [6]. Also, we get some theorems on the space $X_\{m,φ\}$ and the set $S^\{φ\}_\{F\}$.},
author = {Andrzej Kasperski},
journal = {Banach Center Publications},
keywords = {separable Banach space; decomposable set; Musielak–Orlicz space of multifunctions; selector},
language = {eng},
number = {1},
pages = {71-77},
title = {Decomposable sets and Musielak-Orlicz spaces of multifunctions},
url = {http://eudml.org/doc/282504},
volume = {68},
year = {2005},
}

TY - JOUR
AU - Andrzej Kasperski
TI - Decomposable sets and Musielak-Orlicz spaces of multifunctions
JO - Banach Center Publications
PY - 2005
VL - 68
IS - 1
SP - 71
EP - 77
AB - We introduce the Musielak-Orlicz space of multifunctions $X_{m,φ}$ and the set $S^{φ}_{F}$ of φ-integrable selections of F. We show that some decomposable sets in Musielak-Orlicz space belong to $X_{m,φ}$. We generalize Theorem 3.1 from [6]. Also, we get some theorems on the space $X_{m,φ}$ and the set $S^{φ}_{F}$.
LA - eng
KW - separable Banach space; decomposable set; Musielak–Orlicz space of multifunctions; selector
UR - http://eudml.org/doc/282504
ER -