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Complex convexity of Orlicz-Lorentz spaces and its applications

Choi C., Kamińska A., Lee H. J.

Bulletin of the Polish Academy of Sciences. Mathematics

2004

Vol. 52, nr 1

19-38

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 [is an element of] c0 \ L2.