Hilbert–Schmidt and multiple summing operators

• Autores: Gabriela Badea, Dumitru Popa
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 63, Fasc. 2, 2012, págs. 181-194
• Idioma: inglés
• DOI: 10.1007/s13348-010-0028-2
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• Resumen

  • We characterize the multiple p-summing operators for p ≥ 2, in the situation where the range and some of the factors of the cartesian product are Hilbert spaces. As a consequence, we complete some recent results obtained in this area. Thus, we prove a coincidence result for multiple p-summing operators for p ≥ 2, which has no linear analogue. Also, we give the necessary and sufficient conditions for some concrete bilinear operators to be multiple p-summing, p ≥ 1.