• Title/Summary/Keyword: absolutely p-summing operator

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EXTENDING AND LIFTING OPERATORS ON BANACH SPACES

  • Kang, JeongHeung
    • Korean Journal of Mathematics
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    • v.27 no.3
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    • pp.645-655
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    • 2019
  • In this article, we show that the nuclear operator defined on Banach space has an extending and lifting operator. Also we give new proofs of the well known facts which were given $Pelcz{\acute{y}}nski$ theorem for complemented subspaces of ${\ell}_1$ and Lewis and Stegall's theorem for complemented subspaces of $L_1({\mu})$.