[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.11568/kjm.2015.23.3.447

LIFTABLE OPERATORS ON SOME BANACH SPACES

KANG, JEONGHEUNG (Department of Mathematics Korea Military Academy)

Publication Information

Korean Journal of Mathematics / v.23, no.3, 2015 , pp. 447-456 More about this Journal

Abstract

In this paper we show that some operators defined on the Banach space with an unconditional basis and $L^1({\mu})$ into a Banach space with the RNP have liftable operators.

Keywords

Radon- $Nikod{\acute{y}}m$ Property; lifting property; absolutely 1-summing operator; unconditional basis; unconditional basis constant;

Citations & Related Records

Reference

1	J. Diestel and J. J. Uhl. Jr. Vector Measure, Math. Surveys Monographs 15, AMS, Providence RI.
2	Diestel, Joe, Hans Jarchow, and Andrew Tonge. Absolutely summing operators. Vol. 43. Cambridge University Press, 1995.
3	A. Grothendieck Une caraterisation vectorielle-metrique $L^1$ , Canad J. Math. 7 (1955), 552-562 MR17. DOI
4	J. H Kang. Lifting properties on $L^1$ ( ${\pi}$ ), Comm. Korean Math. 16 (1) (2001), 119-124.
5	G. Kothe Hebbare lokakonvex Raume , Math. Ann., 4651. 165 (1993), 188-195.
6	D. R. Lewis and C. Stegall Banach spaces whose duals are isomorphic to $l^1$ ( ${\Gamma}$ ), J. Functional Analysis, 12 (1973), 177-187. DOI
7	A. Pelczynski Projections in certain Banach spaces, Studia Math., 19 (1960), 209-228. DOI
8	G. Pisier Factorization of linear operators and geometry of Banach spaces. No. 60. American Mathematical Soc., 1986.