Complex Convexity of Orlicz-Lorentz Spaces and its Applications
Changsun Choi ; Anna Kamińska ; Han Ju Lee
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 52 (2004), p. 19-38 / Harvested from The Polish Digital Mathematics Library
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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 wi ∈ c₀∖ℓ₂.

Publié le : 2004-01-01
EUDML-ID : urn:eudml:doc:280302 
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     title = {Complex Convexity of Orlicz-Lorentz Spaces and its Applications},
     journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
     volume = {52},
     year = {2004},
     pages = {19-38},
     zbl = {1109.46032},
     language = {en},
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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) pp. 19-38. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba52-1-3/