The Banach-Saks property is not \(L^ 2\)-hereditary

DOI10.1007/BF02761374zbMath0486.46021OpenAlexW1978042305MaRDI QIDQ1164825

Walter Schachermayer

Publication date: 1981

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02761374

zbMATH Keywords

Lebesgue-Bochner spacespreading modelCesaro meansBanach-Saks-property

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Spaces of vector- and operator-valued functions (46E40) Geometry and structure of normed linear spaces (46B20) Classical Banach spaces in the general theory (46B25) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15)

Related Items (9)

Upper l_p-estimates in vector sequence spaces, with some applications ⋮ The weak Banach-Saks property on L^p(μ, E) ⋮ Unnamed Item ⋮ \(k\)-\(\beta\) and \(k\)-nearly uniformly convex Banach spaces ⋮ Mean separations in Banach spaces under abstract interpolation and extrapolation ⋮ On Schachermayer's example about the Banach-Saks property ⋮ Order-bounded operators in vector lattices and in spaces of measurable functions ⋮ Cesàro convergent sequences in the Mackey topology ⋮ New sequential compactness results for spaces of scalarly integrable functions

Cites Work

• Unnamed Item
• Unnamed Item
• Factoring weakly compact operators
• Banach-Saks properties and spreading models.
• On reflexivity and summability

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