Weak\(*\) convergence in the dual of weak \(L^{p}\)

DOI10.1007/s11856-010-0026-9zbMath1201.46010OpenAlexW1995083350MaRDI QIDQ980501

Heinrich P. Lotz

Publication date: 29 June 2010

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

Full work available at URL: https://doi.org/10.1007/s11856-010-0026-9

zbMATH Keywords

Banach latticeGrothendieck spaceweak \(L^p\) space

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) Isomorphic theory (including renorming) of Banach spaces (46B03) Banach lattices (46B42)

Related Items (10)

1-Grothendieck \(C(K)\) spaces ⋮ The Grothendieck property in Marcinkiewicz spaces ⋮ \((I)\)-envelopes of closed convex sets in Banach spaces ⋮ Sublattices of the Banach envelope of weak 𝐿¹ ⋮ Grothendieck ordered Banach spaces with an interpolation property ⋮ \(\ell^{p,\infty}\) has a complemented subspace isomorphic to \(\ell^ 2\) ⋮ Quantitative Grothendieck property ⋮ M-embedded symmetric operator spaces and the derivation problem ⋮ On Kalton’s theorem for regular compact operators and Grothendieck property for positive projective tensor products ⋮ Grothendieck spaces: the landscape and perspectives

Cites Work

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• Rearrangement invariant continuous linear functionals on weak \(L^{1}\)
• Convergent sequences of finitely additive measures
• On L(p,q) spaces
• Purely non-atomic weak $L^p$ spaces
• Extensions and Liftings of Positive Linear Mappings on Banach Lattices
• Measures on F-Spaces
• Sur Les Applications Lineaires Faiblement Compactes D'Espaces Du Type C(K)

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