Geodesic
Complex Convexity of Orlicz–Lorentz Spaces and its Applications
Changsun Choi1 ; Anna Kamińska2 ; Han Ju Lee1
1 Division of Applied Mathematics Korea Advanced Institute of Science and Technology 373-1, Kusong-Dong, Yusong-Gu Taejon, 305-701, Republic of Korea
2 Department of Mathematical Sciences The University of Memphis Memphis, TN 38152, U.S.A.
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 52 (2004) no. 1, pp. 19-38.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We give sufficient and necessary conditions for complex extreme points of the unit ball of Orlicz–Lorentz spaces, as well as we find criteria for the complex rotundity and uniform complex rotundity of these spaces. As an application we show that the set of norm-attaining operators is dense in the space of bounded linear operators from $d_*(w,1)$ into $d(w,1)$, where $d_*(w,1)$ is a predual of a complex Lorentz sequence space $d(w,1)$, if and only if $w\in c_0\setminus \ell _2$.
DOI : 10.4064/ba52-1-3
Keywords: sufficient necessary conditions complex extreme points unit ball orlicz lorentz spaces criteria complex rotundity uniform complex rotundity these spaces application set norm attaining operators dense space bounded linear operators * where * predual complex lorentz sequence space only setminus ell

Changsun Choi 1 ; Anna Kamińska 2 ; Han Ju Lee 1

1 Division of Applied Mathematics Korea Advanced Institute of Science and Technology 373-1, Kusong-Dong, Yusong-Gu Taejon, 305-701, Republic of Korea
2 Department of Mathematical Sciences The University of Memphis Memphis, TN 38152, U.S.A. 
@article{10_4064_ba52_1_3,
     author = {Changsun Choi and Anna Kami\'nska and Han Ju Lee},
     title = {Complex {Convexity} of {Orlicz{\textendash}Lorentz} {Spaces
} and its {Applications}},
     journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
     pages = {19--38},
     publisher = {mathdoc},
     volume = {52},
     number = {1},
     year = {2004},
     doi = {10.4064/ba52-1-3},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/ba52-1-3/}
}
TY  - JOUR
AU  - Changsun Choi
AU  - Anna Kamińska
AU  - Han Ju Lee
TI  - Complex Convexity of Orlicz–Lorentz Spaces
 and its Applications
JO  - Bulletin of the Polish Academy of Sciences. Mathematics
PY  - 2004
SP  - 19
EP  - 38
VL  - 52
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/ba52-1-3/
DO  - 10.4064/ba52-1-3
LA  - en
ID  - 10_4064_ba52_1_3
ER  - 
%0 Journal Article
%A Changsun Choi
%A Anna Kamińska
%A Han Ju Lee
%T Complex Convexity of Orlicz–Lorentz Spaces
 and its Applications
%J Bulletin of the Polish Academy of Sciences. Mathematics
%D 2004
%P 19-38
%V 52
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/ba52-1-3/
%R 10.4064/ba52-1-3
%G en
%F 10_4064_ba52_1_3
Changsun Choi; Anna Kamińska; Han Ju Lee. Complex Convexity of Orlicz–Lorentz Spaces
 and its Applications. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 52 (2004) no. 1, pp. 19-38. doi : 10.4064/ba52-1-3. http://geodesic.mathdoc.fr/articles/10.4064/ba52-1-3/

Cité par Sources :