Korean J. Math. Vol. 31 No. 4 (2023) pp.385-389
DOI: https://doi.org/10.11568/kjm.2023.31.4.385

Liftings of a complemented subspace of $\mathcal{L}_1-$spaces

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JeongHeung Kang

Abstract

In this article, we prove that an infinite dimensional complemented subspace $X$ of $\mathcal{L}_{1}$-space $Z$ with unconditional basis $(x_n )$ has the lifting property. Hence we can give an alternative proof that $X$ is isomorphic to $\ell_1$ given by Lindenstrauss and Pelczy\'nski.



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Supporting Agencies

Hwarangdae Research Institute

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