A Stone-Weierstrass theorem for Banach lattices
Rainer Nagel (1973)
Studia Mathematica
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Rainer Nagel (1973)
Studia Mathematica
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S. Bernau, H. Lacey (1976)
Studia Mathematica
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Richard Evans (1981)
Studia Mathematica
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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.
Marek Wójtowicz (2001)
Commentationes Mathematicae Universitatis Carolinae
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It is known that a Banach lattice with order continuous norm contains a copy of if and only if it contains a lattice copy of . The purpose of this note is to present a more direct proof of this useful fact, which extends a similar theorem due to R.C. James for Banach spaces with unconditional bases, and complements the - and -cases considered by Lozanovskii, Mekler and Meyer-Nieberg.
Ngimbi, E.N. (1996)
Bulletin of the Belgian Mathematical Society - Simon Stevin
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Beatriz Porras Pomares (1986)
Extracta Mathematicae
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J. Szulga (1979)
Colloquium Mathematicae
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Niels Jakob Laustsen, Richard J. Loy (2005)
Banach Center Publications
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In general, little is known about the lattice of closed ideals in the Banach algebra ℬ(E) of all bounded, linear operators on a Banach space E. We list the (few) Banach spaces for which this lattice is completely understood, and we give a survey of partial results for a number of other Banach spaces. We then investigate the lattice of closed ideals in ℬ(F), where F is one of Figiel's reflexive Banach spaces not isomorphic to their Cartesian squares. Our main result is that this lattice...