
Journal of Convex Analysis 29 (2022), No. 2, 333344 Copyright Heldermann Verlag 2022 Representing Diagrams and MIdeals in L_{1}Predual Spaces Pradipta Bandyopadhyay StatMath Division, Indian Statistical Institute, Kolkata, India pradipta@isical.ac.in Aryaman Sensarma StatMath Division, Indian Statistical Institute, Bangalore, India aryamansensarma@gmail.com We continue the study of diagrammatic representations of separable L_{1}predual spaces and show that given an Mideal M in a C(K)space, there exists a diagram of C(K) such that M is given by a directed subdiagram. Similar results are true also for the spaces C_{0}(T), c and c_{0}. This allows one to find a representing matrix of an Mideal in these spaces. We also obtain some partial results for hyperplanes that are Mideals in separable L_{1}predual spaces. Keywords: Mideal, L_{1}predual space, C(K)space, directed subdiagram. MSC: 46B25, 46B20. [ Fulltextpdf (126 KB)] for subscribers only. 