A. El Kaddouri, Mohammed Moussa (2013)
Acta Universitatis Carolinae. Mathematica et Physica
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We give a brief survey of recent results of order limited operators related to some properties on Banach lattices.
N. Ghoussoub (1980-1981)
Séminaire Analyse fonctionnelle (dit "Maurey-Schwartz")
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Belmesnaoui Aqzzouz, Khalid Bouras (2011)
Czechoslovak Mathematical Journal
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We establish necessary and sufficient conditions under which each operator between Banach lattices is weakly compact and we give some consequences.
Jesús M. Fernández Castillo (1992)
Extracta Mathematicae
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Giovanni Emmanuele (1988)
Extracta Mathematicae
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Andrzej Kryczka (2015)
Annales UMCS, Mathematica
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We introduce a seminorm for bounded linear operators between Banach spaces that shows the deviation from the weak Banach-Saks property. We prove that if (Xν) is a sequence of Banach spaces and a Banach sequence lattice E has the Banach-Saks property, then the deviation from the weak Banach-Saks property of an operator of a certain class between direct sums E(Xν) is equal to the supremum of such deviations attained on the coordinates Xν. This is a quantitative version for operators of...
Andrzej Kryczka (2014)
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica
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We introduce a seminorm for bounded linear operators between Banach spaces that shows the deviation from the weak Banach–Saks property. We prove that if (Xv) is a sequence of Banach spaces and a Banach sequence lattice E has the Banach–Saks property, then the deviation from the weak Banach–Saks property of an operator of a certain class between direct sums E(Xv) is equal to the supremum of such deviations attained on the coordinates Xv. This is a quantitative version for operators of...