Property (H) in Lebesgue-Bochner Function Spaces
Copyright policy )Property (H) in Lebesgue-Bochner Function Spaces
We prove that if a Banach space X X has the property (HR) and if l 1 {l_1} is not isomorphic to a subspace of X X , then every point on the unit sphere of X X is a denting point of the closed unit ball. We also prove that if X X has the above property, then L p ( μ , X ) {L^p}\left ( {\mu ,X} \right ) , 1 > p > ∞ 1 > p > \infty , has the property (H).
- The University of Texas at Austin United States
Lebesgue-Bochner, Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.), function spaces, Geometry and structure of normed linear spaces, Spaces of vector- and operator-valued functions, property (H), Radon-Riesz property, property (HR), Kadec-Klee property, Radon-Nikodým, Kreĭn-Milman and related properties, Classical Banach spaces in the general theory, denting point
Lebesgue-Bochner, Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.), function spaces, Geometry and structure of normed linear spaces, Spaces of vector- and operator-valued functions, property (H), Radon-Riesz property, property (HR), Kadec-Klee property, Radon-Nikodým, Kreĭn-Milman and related properties, Classical Banach spaces in the general theory, denting point
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).6 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Top 10% impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!