Some properties of prereflexive subspaces of operators.
Li, Jiankui (1998)
International Journal of Mathematics and Mathematical Sciences
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Li, Jiankui (1998)
International Journal of Mathematics and Mathematical Sciences
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Walden Freedman (1997)
Studia Mathematica
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An alternative to the Dunford-Pettis Property, called the DP1-property, is introduced. Its relationship to the Dunford-Pettis Property and other related properties is examined. It is shown that -direct sums of spaces with DP1 have DP1 if 1 ≤ p < ∞. It is also shown that for preduals of von Neumann algebras, DP1 is strictly weaker than the Dunford-Pettis Property, while for von Neumann algebras, the two properties are equivalent.
T. Alvarez, R. Cross, A. Gouveia (1995)
Studia Mathematica
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Characterisations are obtained for the following classes of unbounded linear operators between normed spaces: weakly compact, weakly completely continuous, and unconditionally converging operators. Examples of closed unbounded operators belonging to these classes are exhibited. A sufficient condition is obtained for the weak compactness of T' to imply that of T.
Milan Konečný (1999)
Acta Mathematica et Informatica Universitatis Ostraviensis
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Jesús M. Martínez Castillo (1995)
Extracta Mathematicae
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Mršević, M., Reilly, I.L. (1989)
International Journal of Mathematics and Mathematical Sciences
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J. H&amp;amp;#039;Michane, A. El Kaddouri, K. Bouras, M. Moussa (2013)
Commentationes Mathematicae Universitatis Carolinae
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We characterize Banach lattices under which each b-weakly compact (resp. b-AM-compact, strong type (B)) operator is L-weakly compact (resp. M-weakly compact).