Complex interpolation of spaces of operators on l_1

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Within the theory of complex interpolation and theta-Hilbert spaces we extend classical results of Kwapien on absolutely (r,1)-summing operators on l_1 with values in l_p as well as their natural extensions for mixing operators invented by Maurey. Furthermore, we show that for 1<p<2 every operator T on l_1 with values in theta-type 2 spaces, theta=2/p', is Rademacher p-summing. This is another extension of Kwapien's results, and by an extrapolation procedure a natural supplement to a statement of Pisier.
15 pages

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Functional Analysis, 47B10 (primary), 46M35 (secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/78975

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9908096
 http://arxiv.org/abs/math/9908096

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arXiv