L_1-factorization of Pietsch integral operators

• Autores: Raffaella Cilia, Joaquín M. Gutiérrez
• Localización: Publicationes Mathematicae Debrecen, ISSN 0033-3883, Tomus 76, Fasc. 3-4, 2010, págs. 441-451
• Idioma: inglés
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• Resumen

  • Given a compact Hausdor® space K and a regular positive ¯nite, Borel measure ¹ on K, we characterize the operators on C(K) admitting a factorization through the natural inclusion of C(K) into L1(K; ¹). We also characterize the operators on L1(­; º), with º a positive ¯nite measure, that factor through the natural inclusion of L1(­; º) into L1(­; º).