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http://dx.doi.org/10.11568/kjm.2019.27.3.645

EXTENDING AND LIFTING OPERATORS ON BANACH SPACES  

Kang, JeongHeung (Department of Mathematics Korea Military Academy)
Publication Information
Korean Journal of Mathematics / v.27, no.3, 2019 , pp. 645-655 More about this Journal
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 $Pelcz{\acute{y}}nski$ theorem for complemented subspaces of ${\ell}_1$ and Lewis and Stegall's theorem for complemented subspaces of $L_1({\mu})$.
Keywords
Extension Property; lifting property; absolutely p-summing operator; nuclear operator;
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