TY  - JOUR
ID  - Denkowska2013
LB  - Denkowska2013
AU  - Denkowska, Anna
TI  - Contractive and optimal sets in Musielak-Orlicz spaces with a smoothness condition
ST  - Contractive and optimal sets in Musielak-Orlicz spaces with a smoothness condition
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2013
VL  - 33
IS  - 4
SP  - 667
EP  - 684
DO  - http://dx.doi.org/10.7494/OpMath.2013.33.4.667
UR  - http://dx.doi.org/10.7494/OpMath.2013.33.4.667
AB  - In this paper we use our recent generalization of a theorem of Jamison-Kamińska-Lewicki (characterizing one-complemented subspaces in Musielak-Orlicz sequence spaces defined by Musielak-Orlicz functions satisfying a general smoothness condition) in order to compare contractive and optimal sets in finite-dimensional Musielak-Orlicz \(\ell^{(n)}_\Phi\) spaces in the spirit of Kamińska-Lewicki. We also give an example illustrating the importance of the smoothness assumptions in our theorem.
KW  - Musielak-Orlicz sequence spaces
KW  - one-complemented subspaces
KW  - contractive and optimal sets
SN  - 1232-9274
ER  -