Results 111 to 120 of about 482,910 (147)

Dual banach lattices and Banach lattices with the Radon-Nikodym property

Israel 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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On Normed Lattices and Their Banach Completions

Positivity, 2005
The authors prove that the countable interpolation property and the sequential order completeness are preserved under Banach completion. The paper makes use of a new technique for representation of normed lattices.
Koldunov, A. V., Veksler, A. I.
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Martingales in Banach lattices, II

Positivity, 2010
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Gessesse, Hailegebriel E., Troitsky, Vladimir G.   +1 more
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Classification of injective banach lattices

Doklady Mathematics, 2013
An injective Banach lattice is a real Banach lattice \(X\) having the following extension property: For every Banach lattice \(Y\), every closed sublattice \(Y_{0}\) of \(Y\) and every positive linear operator \(T_{0}\in L(Y_{0},X)\), there exists a positive linear operator \(T\in L(Y,X)\) such that \(T|_{Y_{0}}=T_{0}\) and \(\left\| T\right\| =\left\|
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On p-convergent Operators on Banach Lattices

Acta Mathematica Sinica, English Series, 2017
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Zeekoei, Elroy D., Fourie, Jan H.
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Banach Lattices of Bounded Operators

Mathematische Nachrichten, 1979
AbstractThere are given two equivalent methods to construct BANACH lattices of compact operators. All known examples of such lattices are included.
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The Norm of a Complex Banach Lattice

Positivity, 1997
Let \(X_C\) denote the complexification of a real Banach space \(X\). The question of norming \(X_C\) is related to cross norms. It is shown that a norm is admissible (a natural condition) on \(X_C\) if and only if the norm is induced by a complex-homogeneous cross-norm on the tensor product \(X\otimes R^2\).
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A Minimax Theorem in Banach Lattices

Positivity, 2000
The author considers capacities with values in boundedly complete Banach lattices, defined as follows. Fix a locally compact Hausdorff topological space \(X\), denote by \(C_0^+(X)\), resp., \(H_0^+(X)\), the set of all continuous, resp., upper semicontinuous, non-negative real valued functions \(f\) on \(X\) with compact support. Put for any given \(h\
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Banach Lattices

2006
Charalambos D. Aliprantis, Owen Burkinshaw   +1 more
  +4 more sources

On Banach lattices of operators

Israel 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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