An embedding of the algebra of order bounded operators on a Dedekind complete Banach lattice.
A.W. Wickstead (1991)
Mathematische Zeitschrift
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Displaying similar documents to “-Scalar operators on cyclic spaces”
An embedding of the algebra of order bounded operators on a Dedekind complete Banach lattice.
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Singh, R.K. (2005)
International Journal of Mathematics and Mathematical Sciences
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Disjointness preserving and diffuse operators
C. B. Huijsmans, B. de Pagter (1991)
Compositio Mathematica
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P. Mangheni (1988)
Studia Mathematica
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Jürgen Voigt (1988)
Mathematische Zeitschrift
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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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A disjointness type property of conditional expectation operators
Beata Randrianantoanina (2005)
Colloquium Mathematicae
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We give a characterization of conditional expectation operators through a disjointness type property similar to band-preserving operators. We say that the operator T:X→ X on a Banach lattice X is semi-band-preserving if and only if for all f, g ∈ X, f ⊥ Tg implies that Tf ⊥ Tg. We prove that when X is a purely atomic Banach lattice, then an operator T on X is a weighted conditional expectation operator if and only if T is semi-band-preserving.
Regularity of Banach lattice valued martingales
J. Szulga (1979)
Colloquium Mathematicae
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A class of operators from a Banach lattice into a Banach space.
Oscar Blasco (1986)
Collectanea Mathematica
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About the class of ordered limited operators
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.
On p-absolutely summing operators acting on Banach lattices
J. Szulga (1985)
Studia Mathematica
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