Bennett-Carl inequalities for symmetric Banach sequence spaces and unitary ideals

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We prove an abstract interpolation theorem which interpolates the (r,2)-summing and (s,2)-mixing norm of a fixed operator in the image and the range space. Combined with interpolation formulas for spaces of operators we obtain as an application the original Bennett-Carl inequalities for identities acting between Minkowski spaces l_u as well as their analogues for Schatten classes S_u. Furthermore, our techniques motivate a study of Bennett-Carl inequalities within a more general setting of symmetric Banach sequence spaces and unitary ideals.
17 pages

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Functional Analysis, 47B10 (primary), 47B37 (secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/78417

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9904157
 http://arxiv.org/abs/math/9904157

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arXiv