On weakly closed functions
N. Ergun, T. Noiri (1990)
Matematički Vesnik
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N. Ergun, T. Noiri (1990)
Matematički Vesnik
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Bishwambhar Roy (2013)
Mathematica Bohemica
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In this paper we introduce a new class of functions called weakly -closed functions with the help of generalized topology which was introduced by Á. Császár. Several characterizations and some basic properties of such functions are obtained. The connections between these functions and some other similar types of functions are given. Finally some comparisons between different weakly closed functions are discussed. This weakly -closed functions enable us to facilitate the formulation...
Donal O'Regan (2000)
Archivum Mathematicum
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A number of fixed point theorems are presented for weakly contractive maps which have weakly sequentially closed graph. Our results automatically lead to new existence theorems for differential inclusions in Banach spaces relative to the weak topology.
Mršević, M., Reilly, I.L. (1989)
International Journal of Mathematics and Mathematical Sciences
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Olaru, Ion Marian (2008)
General Mathematics
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J. H'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).
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.