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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.   +2 more
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Martingales in Banach lattices, II

Positivity, 2010
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Gessesse, Hailegebriel E.   +1 more
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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   +3 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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