- Current Issue - Ahead of Print Articles - All Issues - Search - Open Access - Information for Authors - Downloads - Guideline - Regulations ㆍPaper Submission ㆍPaper Reviewing ㆍPublication and Distribution - Code of Ethics - For Authors ㆍOnlilne Submission ㆍMy Manuscript - For Reviewers - For Editors
 Some remarks on $M$-ideals and strong proximinality Bull. Korean Math. Soc. 2003 Vol. 40, No. 3, 503-508 Printed September 1, 2003 Catherine Finet and Lucas Quarta Universite de Mons-Hainaut, Universite de Mons-Hainaut 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, $1 \frac 12$-ball property, compact operators MSC numbers : 41A50, 41A65, 46B20 Downloads: Full-text PDF