Enrique A. Sanchez PEREZ

4570

Products and quotients of $(p,sigma)$-absolutely continuous operator ideals

Bu makalede A.Pietsch'in tanımladığı ${cal M}_{(q,p)}$ operatör ideallerin bir genelleştirilmesi tanımlanım, bu kavramın çeşitli uygulamaları ele alınmıştır.

$(p,sigma)$ mutlak sürekli operatör ideallerinin çarpımları ve bölümleri üzerine

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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Turkish Journal of Mathematics-Cover
  • ISSN: 1300-0098
  • Yayın Aralığı: 6
  • Yayıncı: TÜBİTAK
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Products and quotients of $(p,sigma)$-absolutely continuous operator ideals

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