Results 181 to 190 of about 1,314 (212)

Martingales in Banach lattices, II

Positivity, 2010
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Gessesse, Hailegebriel E., Troitsky, Vladimir G.   +1 more
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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 \(X\otimes R^2\).
openaire   +2 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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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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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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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
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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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Grothendieck Banach lattices

Siberian Mathematical Journal, 1986
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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The Fremlin projective tensor product of Banach lattice algebras

Journal of Mathematical Analysis and Applications, 2020
Jamel Jaber
exaly