Korean J. Math.  Vol 27, No 3 (2019)  pp.645-655
DOI: https://doi.org/10.11568/kjm.2019.27.3.645

Extending and lifting operators on Banach spaces

JeongHeung Kang


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\'ynski theorem for complemented subspaces of $\ell_1$ and Lewis and Stegall's theorem for complemented subspaces of $L_1(\mu)$.


Extension Property, lifting property, absolutely p-

Subject classification



Korea Military Academy

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