Complex Convexity of Orlicz-Lorentz Spaces and its Applications

Changsun Choi, Anna Kamińska, and Han Ju Lee. "Complex Convexity of Orlicz-Lorentz Spaces and its Applications." Bulletin of the Polish Academy of Sciences. Mathematics 52.1 (2004): 19-38. <http://eudml.org/doc/280302>.

@article{ChangsunChoi2004,
abstract = {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.},
author = {Changsun Choi, Anna Kamińska, Han Ju Lee},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
keywords = {complex rotundity; complex uniform convexity; norm attaining operators; cotype},
language = {eng},
number = {1},
pages = {19-38},
title = {Complex Convexity of Orlicz-Lorentz Spaces and its Applications},
url = {http://eudml.org/doc/280302},
volume = {52},
year = {2004},
}

TY - JOUR
AU - Changsun Choi
AU - Anna Kamińska
AU - Han Ju Lee
TI - Complex Convexity of Orlicz-Lorentz Spaces and its Applications
JO - Bulletin of the Polish Academy of Sciences. Mathematics
PY - 2004
VL - 52
IS - 1
SP - 19
EP - 38
AB - 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.
LA - eng
KW - complex rotundity; complex uniform convexity; norm attaining operators; cotype
UR - http://eudml.org/doc/280302
ER -