Geodesic
Complex Convexity of Orlicz–Lorentz Spaces and its Applications
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.
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 52 (2004) no. 1, pp. 19-38 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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. 
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     title = {Complex {Convexity} of {Orlicz{\textendash}Lorentz} {Spaces
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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

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