### 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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Mršević, M., Reilly, I.L. (1989)

International Journal of Mathematics and Mathematical Sciences

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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 $(\mu ,\lambda )$-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 $(\mu ,\lambda )$-closed functions enable us to facilitate the formulation...

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 ${\ell}_{p}$-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.

Rabindranath Sen (1965)

Rendiconti del Seminario Matematico della Università di Padova

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Josef Niederle (1992)

Czechoslovak Mathematical Journal

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Diómedes Bárcenas (1991)

Extracta Mathematicae

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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).