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

Tom 210 / 2012

Keun Young Lee Studia Mathematica 210 (2012), 247-260 MSC: Primary 46B22; Secondary 46B28. DOI: 10.4064/sm210-3-5

Streszczenie

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.

Autorzy

  • Keun Young LeeDepartment of Advanced Technology Fusion
    Konkuk University
    Seoul 143-701, Republic of Korea
    e-mail

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