• Containment of c0 and ℓ1 in π1(E, F)

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    • Keywords


      Absolutely 1-suuming operators; copy of c0; copy of ℓ1

    • Abstract


      Suppose π1(E, F) is the space of all absolutely 1-summing operators between two Banach spacesE andF. We show that ifF has a copy of c0, then π1 (E, F) will have a copy of c0, and under some conditions ifE has a copy of ℓ1 then π1 (E, F) would have a complemented copy of ℓ1.

    • Author Affiliations


      Mohsen Alimohammady1

      1. Department of Mathematics, University of Mazandran, Faculty of Basic Sciences, Babolsar, Iran
    • Dates

  • Proceedings – Mathematical Sciences | News

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      Posted on July 25, 2019

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