Results 181 to 190 of about 1,337 (221)

BANACH LATTICES - SOME BANACH ASPECTS OF THEIR THEORY

Russian 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
Bukhvalov, A. V., Veksler, A. I., Lozanovskij, G. Ya.   +2 more
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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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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.
H. G. Dales, F. K. Dashiell, A. T.-M. Lau, D. Strauss   +3 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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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 \(X\otimes R^2\).
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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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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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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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