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

    • Fulltext

       

        Click here to view fulltext PDF


      Permanent link:
      https://www.ias.ac.in/article/fulltext/pmsc/114/02/0199-0202

    • 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

    • Editorial Note on Continuous Article Publication

      Posted on July 25, 2019

      Click here for Editorial Note on CAP Mode

© 2017-2019 Indian Academy of Sciences, Bengaluru.