Dual spaces of compact operator spaces and the weak Radon-Nikodým property

Keun Young Lee

Studia Mathematica (2012)

  • Volume: 210, Issue: 3, page 247-260
  • ISSN: 0039-3223

Abstract

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We deal with the weak Radon-Nikodým property in connection with the dual space of (X,Y), the space of compact operators from a Banach space X to a Banach space Y. First, under the weak Radon-Nikodým property, we give a representation of that dual. Next, using this representation, we provide some applications to the dual spaces of (X,Y) and w * w ( X * , Y ) , the space of weak*-weakly continuous operators.

How to cite

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Keun Young Lee. "Dual spaces of compact operator spaces and the weak Radon-Nikodým property." Studia Mathematica 210.3 (2012): 247-260. <http://eudml.org/doc/285563>.

@article{KeunYoungLee2012,
abstract = {We deal with the weak Radon-Nikodým property in connection with the dual space of (X,Y), the space of compact operators from a Banach space X to a Banach space Y. First, under the weak Radon-Nikodým property, we give a representation of that dual. Next, using this representation, we provide some applications to the dual spaces of (X,Y) and $_\{w*w\}(X*,Y)$, the space of weak*-weakly continuous operators.},
author = {Keun Young Lee},
journal = {Studia Mathematica},
keywords = {weak Radon-Nikodým property; dual of compact operator space; Radon-Nikodým property; weak-sequentially dense},
language = {eng},
number = {3},
pages = {247-260},
title = {Dual spaces of compact operator spaces and the weak Radon-Nikodým property},
url = {http://eudml.org/doc/285563},
volume = {210},
year = {2012},
}

TY - JOUR
AU - Keun Young Lee
TI - Dual spaces of compact operator spaces and the weak Radon-Nikodým property
JO - Studia Mathematica
PY - 2012
VL - 210
IS - 3
SP - 247
EP - 260
AB - We deal with the weak Radon-Nikodým property in connection with the dual space of (X,Y), the space of compact operators from a Banach space X to a Banach space Y. First, under the weak Radon-Nikodým property, we give a representation of that dual. Next, using this representation, we provide some applications to the dual spaces of (X,Y) and $_{w*w}(X*,Y)$, the space of weak*-weakly continuous operators.
LA - eng
KW - weak Radon-Nikodým property; dual of compact operator space; Radon-Nikodým property; weak-sequentially dense
UR - http://eudml.org/doc/285563
ER -

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