Korean J. Math. Vol. 30 No. 1 (2022) pp.147-154
DOI: https://doi.org/10.11568/kjm.2022.30.1.147

Liftings of absolutely summing operators on $\mathcal{L}_1^\lambda-$ spaces

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Published: Mar 30, 2022
Keywords:
lifting property, absolutely $p$-summing operator, $\mathcal{L}_{1}^{\lambda}$-spaces
Mathematics Subject Classification:
46B10

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JeongHeung Kang
Department of Mathematics, Korea Military Academy, P.O. Box 77-1, Hwarang-Ro Nowon-Gu, Seoul, Korea

Abstract

In this article, we prove that an absolutely summing operator on $\mathcal{L}_1^{\lambda}$ spaces has a lifting under the conditions that a target Banach space is a quotient of reflexive Banach subspaces.


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Supporting Agencies

This paper is partially supported by the Hwa-Rang Dae Research Institute in 2021.

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