On p-absolutely summing operators acting on Banach lattices
J. Szulga (1985)
Studia Mathematica
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Displaying similar documents to “An absolute continuity for positive operators on Banach lattices.”
On p-absolutely summing operators acting 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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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.
Positive Compact Operators on Banach Lattices.
C.D. Aliprantis, Owen Burkinshaw (1980)
Mathematische Zeitschrift
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Once more on positive commutators
Roman Drnovšek (2012)
Studia Mathematica
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Let A and B be bounded operators on a Banach lattice E such that the commutator C = AB - BA and the product BA are positive operators. If the product AB is a power-compact operator, then C is a quasi-nilpotent operator having a triangularizing chain of closed ideals of E. This answers an open question posed by Bračič et al. [Positivity 14 (2010)], where the study of positive commutators of positive operators was initiated.
Tensor products of Banach lattices with Applications to the local structure of Banach lattices and spaces of absolutely summing operators
Nielsen, N. J.
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Banach spaces of compact operators
Charles E. Cleaver (1972)
Colloquium Mathematicae
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Operators into L1 of a vector measure and applications to Banach lattices.
Guillermo P. Curbera (1992)
Mathematische Annalen
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Disjointness preserving and diffuse operators
C. B. Huijsmans, B. de Pagter (1991)
Compositio Mathematica
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Carlemann Operators on Banach Lattices.
William Feldmann (1988)
Mathematische Zeitschrift
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On operators factorizable through space
Stanislaw Kwapien (1972)
Mémoires de la Société Mathématique de France
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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.