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

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Published: Sep 30, 2019
Keywords:
Extension Property, lifting property, absolutely p-
Mathematics Subject Classification:
46B03

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JeongHeung Kang
Department of Mathematics Korea Military Academy Seoul, Korea

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


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Korea Military Academy

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