Polyhedral preduals of ℓ1 and their representing matrices

Authors

Pradipta Bandyopadhyay, Indian Statistical Institute, Kolkata
S. Dutta, Indian Institute of Technology Kanpur
A. Sensarma, Indian Institute of Technology Kanpur

Article Type

Research Article

Publication Title

Journal of Mathematical Analysis and Applications

Abstract

We present characterizations of polyhedrality (I), (II) and (III) in a separable L1-predual space in terms of its representing matrix. We also continue our study of diagrammatic representations of separable L1-predual spaces and show that in a polyhedral (IV) predual of L1, every M-ideal corresponds to a directed sub-diagram.

First Page

1082

Last Page

1089

DOI

10.1016/j.jmaa.2018.08.058

Publication Date

12-15-2018

Recommended Citation

Bandyopadhyay, Pradipta; Dutta, S.; and Sensarma, A., "Polyhedral preduals of ℓ1 and their representing matrices" (2018). Journal Articles. 1098.
https://digitalcommons.isical.ac.in/journal-articles/1098