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

• Autorzy: Keun Young Lee
• Języki publikacji: EN

Abstrakty

EN

We deal with the weak Radon-Nikodým property in connection with the dual space of 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 𝒦(X,Y) and $𝒦_{w*w}(X*,Y)$, the space of weak*-weakly continuous operators.

Kategorie tematyczne

• 46B22: Radon-Nikod{\'y}m, Kre{\u\i}n-Milman and related properties
• 46B28: Spaces of operators; tensor products; approximation properties

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2012
• Tom: 210
• Numer: 3
• Strony: 247-260

Daty

wydano

2012

Twórcy

autor

Keun Young Lee

• Department of Advanced Technology Fusion, Konkuk University, Seoul 143-701, Republic of Korea

Identyfikatory

DOI

10.4064/sm210-3-5