Journal of the Ramanujan Mathematical Society
Volume 41, Issue 2, June 2026 pp. 143–147.
A generalization of the counter example of E. Casini et al. (Israel J. Math. 2016) and its representing matrices
Authors:
Anindya Ghatak and Aryaman Sensarma
Author institution:Bennett University, Plot Nos 8, 11, TechZone 2, Gerater Noida 201 310, India.
Summary:
Inspired from [5], we generalize and introduce a family of polyhedral ℓ{1}-predual spaces with an extreme
point that does not contain a subspace isometric to c. This class of ℓ{1}-predual spaces disproves some previously
known facts about polyhedral Lindenstrauss spaces appeared in the literature. Moreover, these spaces are not isometric
to a quotient of any C(α). We also present a necessary condition on a representing matrix of this special family of
polyhedral ℓ{1}-predual spaces.
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