Spaces on Which each Absolutely Summing Map is Nuclear

DOI10.2307/2038541zbMath0256.47014OpenAlexW4239005509MaRDI QIDQ5671224

D. R. Lewis

Publication date: 1972

Full work available at URL: https://doi.org/10.2307/2038541

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) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10)

Related Items (3)

Factorization through matrix spaces for finite rank operators between \(C^*\)-algebras ⋮ Characterizations of Banach spaces whose duals are \(L_ 1\) spaces ⋮ Banach spaces whose duals are isomorphic to \(l_1(\Gamma)\)

Cites Work

• The \(L_ p\) spaces
• Characterizations of Banach spaces whose duals are \(L_ 1\) spaces
• Spaces of continuous functions (III) (Spaces C(Ω) for Ω without perfect subsets)
• Spaces of continuous functions (IV). (On isomorphical classification of spaces of continuous functions).
• Absolut p-summierende Abbildungen in normierten Räumen
• The Radon-Nikodym Theorem for the Bochner Integral
• Absolutely summing operators in $ℒ_{p}$-spaces and their applications
• Fully Nuclear and Completely Nuclear Operators with Applications to ℒ 1 - and ℒ ∞ -Spaces
• Produits tensoriels topologiques et espaces nucléaires
• Une Caracterisation Vectorielle-Metrique Des Espaces L¹

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