\((r,p)\)-absolutely summing operators on the space \(C(T,X)\) and applications.

DOI10.1155/S1085337501000434zbMath1035.47011MaRDI QIDQ1599620

Dumitru Popa

Publication date: 6 August 2002

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/50712

zbMATH Keywords

integral operatorBanach space of continuous functionsinjective tensor product\((r,p)\)-absolutely summing operator

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Spaces of operators; tensor products; approximation properties (46B28) Spaces of linear operators; topological tensor products; approximation properties (46A32) Banach spaces of continuous, differentiable or analytic functions (46E15)

Related Items (8)

Dominated multilinear operators defined on tensor products of Banach spaces ⋮ Operator-valued operators that are associated to vector-valued operators ⋮ 2-summing operators on \(C([0, 1, l_p\)) with values in \(l_{1}\)] ⋮ 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 ⋮ Measures with bounded variation with respect to a normed ideal of operators and applications ⋮ Integral and nuclear operators on the space \(C(\Omega,c_0)\) ⋮ Remarks on multiple summing operators on \(C(\Omega)\)-spaces

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