Integral Operators on Spaces of Continuous Vector-Valued Functions

DOI10.2307/2048567zbMath0744.46016arXivmath/9201210OpenAlexW4247864992MaRDI QIDQ3971076

Paulette Saab

Publication date: 25 June 1992

Full work available at URL: https://arxiv.org/abs/math/9201210

zbMATH Keywords

nuclear operatorsintegral operators (in the sense of A. Grothendieck)

Mathematics Subject Classification ID

Spaces of vector- and operator-valued functions (46E40) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10)

Related Items

Integral mappings between Banach spaces, 2-summing operators on \(C([0, 1, l_p\)) with values in \(l_{1}\)], Characterizations of continuous operators on \(C_b(X)\) with the strict topology, On regulated functions, Examples of summing, integral and nuclear operators on the space \(C([0,1,X)\) with values in \(C_{0}\)], Absolutely \((r,q)\)-summing operators on vector-valued function spaces, Pietsch integral operators defined on injective tensor products of spaces and applications, Measures with bounded variation with respect to a normed ideal of operators and applications, Integral Multilinear Forms on C(K, X) Spaces, Integral and nuclear operators on the space \(C(\Omega,c_0)\), Remarks on multiple summing operators on \(C(\Omega)\)-spaces

Cites Work

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• Some mapping properties of representing measures
• Integral Representation by Boundary Vector Measures
• Absolutely Summing and Dominated Operators on Spaces of Vector-Valued Continuous Functions
• Produits tensoriels topologiques et espaces nucléaires