Journal Home Page

Cumulative Index

List of all Volumes

Complete Contents
of this Volume

Previous Article

Next Article

Journal of Convex Analysis 29 (2022), No. 2, 333--344
Copyright Heldermann Verlag 2022

Representing Diagrams and M-Ideals in L1-Predual Spaces

Pradipta Bandyopadhyay
Stat-Math Division, Indian Statistical Institute, Kolkata, India

Aryaman Sensarma
Stat-Math Division, Indian Statistical Institute, Bangalore, India

We continue the study of diagrammatic representations of separable L1-predual spaces and show that given an M-ideal M in a C(K)-space, there exists a diagram of C(K) such that M is given by a directed sub-diagram. Similar results are true also for the spaces C0(T), c and c0. This allows one to find a representing matrix of an M-ideal in these spaces. We also obtain some partial results for hyperplanes that are M-ideals in separable L1-predual spaces.

Keywords: M-ideal, L1-predual space, C(K)-space, directed sub-diagram.

MSC: 46B25, 46B20.

[ Fulltext-pdf  (126  KB)] for subscribers only.