Wydawnictwa / Czasopisma IMPAN / Bulletin Polish Acad. Sci. Math. / Wszystkie zeszyty

Complex Convexity of Orlicz–Lorentz Spaces and its Applications

Tom 52 / 2004

Bulletin Polish Acad. Sci. Math. 52 (2004), 19-38 MSC: 46E30, 46E20, 46G25. DOI: 10.4064/ba52-1-3

Streszczenie

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 $w\in c_0\setminus \ell _2$.

Autorzy

• Changsun ChoiDivision of Applied Mathematics
of Science and Technology
373-1, Kusong-Dong, Yusong-Gu
Taejon, 305-701, Republic of Korea
e-mail
• Anna KamińskaDepartment of Mathematical Sciences
The University of Memphis
Memphis, TN 38152, U.S.A.
e-mail
• Han Ju LeeDivision of Applied Mathematics