PRODUCTS AND QUOTIENTS OF (p,\sigma)-ABSOLUTELY CONTINUOUS OPERATOR IDEALS^*

Authors: ENRIQUE A. SANCHEZ PEREZ

Abstract: We obtain a generalization of the ideal {\cal M}_{(q,p)} of (q,p)-mixing operators-in the sense of Pietsch- as a consequence of the study of the quotients of (p, \sigma)-absolutely continuous operator ideals {\cal P}_{p, \sigma} -in the sense of Jarchow and Matter-. Inclusions {\cal P}_{p, \sigma} (E,F) \subset {\cal M}_{(q,s)} (E,F) are also investigated, specially for the cases E={\cal C}(K) and E=L_1.

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