Results 201 to 210 of about 18,838 (234)

On Banach lattices of operators [PDF]

open access: possibleIsrael Journal of Mathematics, 1974
Let Λ1 and Λ2 be infinte-dimensional, Banach lattices such thatc o is not finitely representable in Λ2. Then the bounded linear operators from Λ1 to Λ2 form a lattice if and only if Λ1 is an abstract AL space.
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Reflexivity in Banach lattices

Archiv der Mathematik, 1994
We prove that a Banach lattice \(X\) is reflexive if and only if \(X\) does not contain any subspace isomorphic to \(\ell^ 1\) and \(X\) does not contain any complemented subspace isomorphic to \(c_ 0\).
Santiago Díaz, Antonio Fernández
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Dual banach lattices and Banach lattices with the Radon-Nikodym property [PDF]

open access: possibleIsrael Journal of Mathematics, 1981
We construct a separable dual Banach latticeE such that no non-trivial order interval of its dual is weakly compact. HenceE has the Radon-Nikodym property without being in some sense a dual in a natural way.
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Grothendieck Banach lattices

Siberian Mathematical Journal, 1987
A Banach space is called Grothendieck iff weak and weak* convergences of sequences in the dual space coincide. The author gives criteria for being Grothendieck in the class of Banach lattices.
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Banach Spaces and Banach Lattices

2016
We shall now give some background in the theory of normed and Banach spaces, including the key definitions of dual and bidual spaces and of an isomorphism and an isometric isomorphism between two normed spaces. In particular, we shall show how certain bidual spaces can be embedded in other Banach spaces.
Dona Strauss   +3 more
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BANACH LATTICES - SOME BANACH ASPECTS OF THEIR THEORY [PDF]

open access: possibleRussian Mathematical Surveys, 1979
CONTENTSIntroduction § 1. Preliminary results from the theory of Banach lattices § 2. Banach invariant properties of Banach lattices § 3. Banach invariant properties and Banach constants in Banach lattices § 4. Banach theorems in the theory of Banach lattices § 5. The approximation problem in Banach lattices § 6. On Banach spaces that are isomorphic or
Alexander V. Bukhvalov   +2 more
openaire   +1 more source

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