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Strict u-ideals in Banach spaces
ÅSvald LimaVegard Limasubject
Discrete mathematicsMathematics::Functional AnalysisMathematics::Commutative AlgebraApproximation propertyGeneral MathematicsEberlein–Šmulian theoremInfinite-dimensional vector functionBanach spaceInterpolation spaceBanach manifoldC0-semigroupLp spaceMathematicsdescription
We study strict u-ideals in Banach spaces. A Banach space X is a strict u-ideal in its bidual when the canonical decomposition X = X X ? is unconditional. We characterize Banach spaces which are strict u-ideals in their bidual and show that if X is a strict u-ideal in a Banach space Y then X contains c0. We also show that '1 is not a u-ideal.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2009-01-01 | Studia Mathematica |