Geodesic
Dual spaces of compact operator spaces and the weak Radon–Nikodým property
Keun Young Lee1
1 Department of Advanced Technology Fusion Konkuk University Seoul 143-701, Republic of Korea
Studia Mathematica, Tome 210 (2012) no. 3, pp. 247-260

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We deal with the weak Radon–Nikodým property in connection with the dual space of $\mathcal{K}(X,Y)$, 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 $\mathcal{K}(X,Y)$ and $\mathcal{K}_{w^{*}w}(X^{*},Y)$, the space of weak$^{*}$-weakly continuous operators.
DOI : 10.4064/sm210-3-5
Keywords: weak radon nikod property connection dual space mathcal space compact operators banach space banach space first under weak radon nikod property representation dual using representation provide applications dual spaces mathcal mathcal * * space weak * weakly continuous operators

Keun Young Lee 1

1 Department of Advanced Technology Fusion Konkuk University Seoul 143-701, Republic of Korea 
@article{10_4064_sm210_3_5,
     author = {Keun Young Lee},
     title = {Dual spaces of compact operator spaces and
the weak {Radon{\textendash}Nikod\'ym} property},
     journal = {Studia Mathematica},
     pages = {247--260},
     publisher = {mathdoc},
     volume = {210},
     number = {3},
     year = {2012},
     doi = {10.4064/sm210-3-5},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/sm210-3-5/}
}
TY  - JOUR
AU  - Keun Young Lee
TI  - Dual spaces of compact operator spaces and
the weak Radon–Nikodým property
JO  - Studia Mathematica
PY  - 2012
SP  - 247
EP  - 260
VL  - 210
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/sm210-3-5/
DO  - 10.4064/sm210-3-5
LA  - en
ID  - 10_4064_sm210_3_5
ER  - 
%0 Journal Article
%A Keun Young Lee
%T Dual spaces of compact operator spaces and
the weak Radon–Nikodým property
%J Studia Mathematica
%D 2012
%P 247-260
%V 210
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/sm210-3-5/
%R 10.4064/sm210-3-5
%G en
%F 10_4064_sm210_3_5
Keun Young Lee. Dual spaces of compact operator spaces and
the weak Radon–Nikodým property. Studia Mathematica, Tome 210 (2012) no. 3, pp. 247-260. doi: 10.4064/sm210-3-5

Cité par Sources :