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The connection between intersection properties and extensions of positive operators
Extensions of positive compact operators
Injective finitedimensional Banach lattices and sequence spaces
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ball of F Banach spaces Cauchy sequence chapter closed sublattice complete space continuous functions Corollary dimensional Banach lattice dual dyadic rationals exists extension property extension T E G,E EXTENSIONS OF POSITIVE F and G F of G F,G)-extension property finite dimensional Banach finite dimensional sublattice finite m)-product finite order intersection following are equivalent Hence ideal of G implies inclusion map injective Banach lattices Injective objects interval preserving l-boundedly order complete lattice isometry lattices F Lemma Let F Lindenstrauss llDll llPll llTl llTll llxll llyll m)-product of AL)-spaces Math maximal extreme points norm l projection numbers order intersection property positive extension T E positive operators positive y e proof of Theorem Proposition quasi-interior point S(yp satisfying the hypotheses sequence spaces splitting property Stonian sublattice F sublattice of G Suppose a Banach Theorem 3.7 u e F unit ball y e F