Results 141 to 150 of about 202 (182)

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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Martingales in Banach lattices, II

Positivity, 2010
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Gessesse, Hailegebriel E., Troitsky, Vladimir G.   +1 more
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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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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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On p-convergent Operators on Banach Lattices

Acta Mathematica Sinica, English Series, 2017
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Zeekoei, Elroy D., Fourie, Jan H.
openaire   +3 more sources

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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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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EmbeddingL 1 in a Banach lattice

Israel Journal of Mathematics, 1979
We show that ifX is a Banach lattice containing no copy ofc0 and ifZ is a subspace ofX isomorphic toL1[0, 1] then (a)Z contains a subspaceZ0 isomorphic toL1 and complemented inX and (b)X contains a complemented sublattice isomorphic and lattice-isomorphic toL1.
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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