Dense strong continuity of mappings and the Radon-Nikodym property.
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P.S. Kenderov, J.P.R. Christensen (1984)
Mathematica Scandinavica
J. Bourgain (1980)
Studia Mathematica
Ryszard Grzaslewicz, Samir B. Hadid (1996)
Revista Matemática de la Universidad Complutense de Madrid
In a former paper we describe the geometric properties of the space of continuous functions with values in the space of operators acting on a Hilbert space. In particular we show that dent B(L(H)) = ext B(L(H)) if dim H < 8 and card K < 8 and dent B(L(H)) = 0 if dim H < 8 or card K = 8, and x-ext C(K,L(H)) = ext C(K,L(H)).
Benabdellah, H. (1999)
Journal of Convex Analysis
Shangquan Bu (1990)
Annales de la Faculté des sciences de Toulouse : Mathématiques
Keun Young Lee (2012)
Studia Mathematica
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 , the space of weak*-weakly continuous operators.
L.J. Bunce, C.-H. Chu (1991)
Mathematische Zeitschrift
Jesús M. Fernández Castillo, Juan A. López Molina (1993)
Revista Matemática de la Universidad Complutense de Madrid
Several properties of weakly p-summable sequences and of the scale of p-converging operators (i.e., operators transforming weakly p-summable sequences into convergent sequences) in projective and natural tensor products with an lp space are considered. The last section studies the Dunford-Pettis property of order p (i.e., every weakly compact operator is p-convergent) in those spaces.
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