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Bulletin of the Polish Academy of Sciences. Mathematics

2004 | 52 | 1 | 19-38

Complex Convexity of Orlicz-Lorentz Spaces and its Applications

EN

Abstrakty

EN
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 wi ∈ c₀∖ℓ₂.

19-38

wydano
2004

Twórcy

autor
• Division of Applied Mathematics, Korea Advanced Institute, of Science and Technology, 373-1, Kusong-Dong, Yusong-Gu, Taejon, 305-701, Republic of Korea
autor
• Department of Mathematical Sciences, The University of Memphis, Memphis, TN 38152, U.S.A.
autor
• Division of Applied Mathematics, Korea Advanced Institute, of Science and Technology, 373-1, Kusong-Dong, Yusong-Gu, Taejon, 305-701, Republic of Korea