Korean Journal of Mathematics

The Kangwon-Kyungki Mathematical Society (강원경기수학회)
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EXTENDING AND LIFTING OPERATORS ON BANACH SPACES

  • Received : 2019.04.17
  • Accepted : 2019.07.22
  • Published : 2019.09.30
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Abstract

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 $L_1({\mu})$.

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References

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