[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/BKMS.2003.40.3.503

SOME REMARKS ON M-IDEALS AND STRONG PROXIMINALITY

Finet, Chaterine (Universite de Mons-Hainaut, Institut de Mathematique, Le Pentagone, Avenue Du Chanp De Mars)
Quarta, Lucas (Universite de Mons-Hainaut, Institut de Mathematique, Le Pentagone, Avenue Du Chanp De Mars)

Publication Information

Bulletin of the Korean Mathematical Society / v.40, no.3, 2003 , pp. 503-508 More about this Journal

Abstract

We prove that every M-ideal is strongly proximinal and that, for any Banach space X, $K(X,\;c_0)$ is an M-ideal in $L(X,\;\ell^{\infty})$ .

Keywords

proximinality; M-ideals; n-ball property; $1\frac{1}{2}-ball$ property; compact operators;

Citations & Related Records

Times Cited By KSCI : 1 (Citation Analysis)

Reference
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