On the Structure of Non-Weakly Compact Operators on Banach Lattices.
N. Ghoussoub, T. Figiel, W.B. Johnson (1981)
Mathematische Annalen
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Displaying similar documents to “Operators into L1 of a vector measure and applications to Banach lattices.”
On the Structure of Non-Weakly Compact Operators on Banach Lattices.
Factoring Operators Through Banach Lattices Not Containing C(0, 1).
N. Ghoussoub, W.B. Johnson (1987)
Mathematische Zeitschrift
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Positive Compact Operators on Banach Lattices.
C.D. Aliprantis, Owen Burkinshaw (1980)
Mathematische Zeitschrift
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Minimal Reflexive Banach Lattices.
Heinrich P. Lotz (1974)
Mathematische Annalen
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Carlemann Operators on Banach Lattices.
William Feldmann (1988)
Mathematische Zeitschrift
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Mean Ergodicity of Power-Bounded Operators in Countably Order Complete Banach Lattices.
Radu Zaharopol (1986)
Mathematische Zeitschrift
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Application of Rademacher systems to operator characterizations of Banach lattices
Ju. A. Abramovič, L. P. Janovskiĭ (1982)
Colloquium Mathematicae
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Order Dentability and the Radon-Nikodym Property in Banach Lattices.
N. Ghoussoub, M. Talagrand (1979)
Mathematische Annalen
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Pre-Measures on Lattices of Sets.
J.L. KELLEY, T.P. SRINIVASAN (1970/71)
Mathematische Annalen
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Factorization and domination of positive Banach-Saks operators
Julio Flores, Pedro Tradacete (2008)
Studia Mathematica
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It is proved that every positive Banach-Saks operator T: E → F between Banach lattices E and F factors through a Banach lattice with the Banach-Saks property, provided that F has order continuous norm. By means of an example we show that this order continuity condition cannot be removed. In addition, some domination results, in the Dodds-Fremlin sense, are obtained for the class of Banach-Saks operators.
Martingales, G...-Embeddings and Quotients of L1 .
N. Ghoussoub, H.P. Rosenthal (1983)
Mathematische Annalen
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An absolute continuity for positive operators on Banach lattices.
Feldman, W., Piston, C., Piston, Calvin E. (1991)
International Journal of Mathematics and Mathematical Sciences
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Injective Banach Lattices.
Richard Haydon (1977)
Mathematische Zeitschrift
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Homomorphisms of Some Function Lattices.
G.A. JENSEN (1969)
Mathematische Annalen
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Domination by positive Banach-Saks operators
Julio Flores, César Ruiz (2006)
Studia Mathematica
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Given a positive Banach-Saks operator T between two Banach lattices E and F, we give sufficient conditions on E and F in order to ensure that every positive operator dominated by T is Banach-Saks. A counterexample is also given when these conditions are dropped. Moreover, we deduce a characterization of the Banach-Saks property in Banach lattices in terms of disjointness.