On the approximate solutions of linear equations in the -space
Rabindranath Sen (1965)
Rendiconti del Seminario Matematico della Università di Padova
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Rabindranath Sen (1965)
Rendiconti del Seminario Matematico della Università di Padova
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Wilkins, Dave (1995)
International Journal of Mathematics and Mathematical Sciences
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A. Taylor (1939)
Studia Mathematica
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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.
N. Ergun, T. Noiri (1990)
Matematički Vesnik
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Diómedes Bárcenas (1991)
Extracta Mathematicae
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Driss Lhaimer, Mohammed Moussa, Khalid Bouras (2020)
Mathematica Bohemica
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In this paper, we introduce and study new concepts of b-L-weakly and order M-weakly compact operators. As consequences, we obtain some characterizations of KB-spaces.
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).