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1979•Russian Mathematical SurveysRequires access

BANACH LATTICES - SOME BANACH ASPECTS OF THEIR THEORY

A. V. Bukhvalov, A. I. Veksler, G. Ya. Lozanovskii

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Abstract

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

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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

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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

Key concepts: Mathematics, Eberlein–Šmulian theorem, Banach manifold, Approximation property, C0-semigroup, Banach space, Finite-rank operator, Lp space

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