Some fsubsigma-sets in L(E,F) for the weak operator topology
A. García-Nogales (1989)
Extracta Mathematicae
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A. García-Nogales (1989)
Extracta Mathematicae
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Charles W. Swartz (1989)
Commentationes Mathematicae Universitatis Carolinae
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Stojan Radenović (1988)
Publications de l'Institut Mathématique
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Manuel González, Joaquín M. Gutiérrez (1990)
Extracta Mathematicae
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Throughout [this paper], E and F will denote Banach spaces. The bounded weak topology on a Banach space E, noted bw(E) or simply bw, is defined as the finest topology that agrees with the weak topology on bounded sets. It is proved in [3] that bw(E) is a locally convex topology if and only if E is reflexive. In this paper we introduce the compact weak topology on a Banach space E, noted kw(E) or simply kw, as the finest topology that agrees with the weak topology on weakly...
Petr Holický (1997)
Commentationes Mathematicae Universitatis Carolinae
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We study binormality, a separation property of spaces endowed with two topologies known in the real analysis as the Luzin-Menchoff property. The main object of our interest are Banach spaces with their norm and weak topologies. We show that every separable Banach space is binormal and the space is not binormal.
Malkowsky, Eberhard (2006)
APPS. Applied Sciences
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Ali Ülger (2001)
Colloquium Mathematicae
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Let X be a Banach space. If the natural projection p:X*** → X* is sequentially weak*-weak continuous then the space X is said to have the weak Phillips property. We present several characterizations of the spaces having this property and study its relationships to other Banach space properties, especially the Grothendieck property.