Complex Convexity of Orlicz-Lorentz Spaces and its Applications
Changsun Choi, Anna Kamińska, Han Ju Lee (2004)
Bulletin of the Polish Academy of Sciences. Mathematics
Similarity:
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 into d(w,1), where is a predual of a complex Lorentz sequence space d(w,1), if and only if wi ∈ c₀∖ℓ₂.