BANACH LATTICES - SOME BANACH ASPECTS OF THEIR THEORY
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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 isometric to Banach lattices, and Banach spaces with local unconditional structureGuide to the literatureReferences
Banach lattices, Geometry and structure of normed linear spaces, local unconditional structure, Banach invariant properties, Banach constants, Ordered topological linear spaces, vector lattices, Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.), approximation problem
Banach lattices, Geometry and structure of normed linear spaces, local unconditional structure, Banach invariant properties, Banach constants, Ordered topological linear spaces, vector lattices, Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.), approximation problem
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