The Complete Continuity Property in Bochner Function Spaces

DOI10.2307/2159542zbMath0812.46026OpenAlexW4256555687MaRDI QIDQ4039316

Narcisse Randrianantoanina, Elias Saab

Publication date: 8 August 1993

Full work available at URL: https://doi.org/10.2307/2159542

zbMATH Keywords

complete continuity property

Mathematics Subject Classification ID

Set-valued set functions and measures; integration of set-valued functions; measurable selections (28B20) 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) Vector-valued measures and integration (46G10) Integration theory via linear functionals (Radon measures, Daniell integrals, etc.), representing set functions and measures (28C05)

Related Items (5)

The \(p\)-\(HH\) norms on Cartesian powers and sequence spaces ⋮ The complete continuity properties for the positive projective tensor product of atomic Banach lattices ⋮ Complete continuity properties for the Fremlin projective tensor product of Orlicz sequence spaces and Banach lattices ⋮ Some properties of the projective tensor product UX derived from those of U and X ⋮ Hereditary properties for duals of Bochner \(L_p\)-function-spaces

Cites Work

• Isomorphisms between \(L_ p\)-function spaces when \(p<1\)
• Représentations d'opérateurs à valeurs dans \(L^1(X,\Sigma,\mu)\)
• Weak Cauchy Sequences in L 1 (E)
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