Korean Journal of Mathematics

The Kangwon-Kyungki Mathematical Society (강원경기수학회)
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LIFTINGS OF A COMPLEMENTED SUBSPACE OF 𝓛1-SPACES

  • Received : 2023.07.04
  • Accepted : 2023.11.06
  • Published : 2023.12.30
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Abstract

In this article, we prove that an infinite dimensional complemented subspace X of 𝓛1-space Z with unconditional basis (xn) has the lifting property. Hence we can give an alternative proof that X is isomorphic to ℓ1 given by Lindenstrauss and Pelczyński.

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Acknowledgement

This work is supported by 2023 research fund of Hwarangdae Research Institute.

References

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