Non-reflexivity of the Banach space $\Lambda BV^{(p)}$
Functional Analysis
2025-11-19 v3
Abstract
In this paper, we show that the Waterman-Shiba space is non-reflexive. In fact, Prus-Wi\'sniowski and Ruckle, in \cite{1}, generalized the well-known fact that states the space of bounded variation functions is non-reflexive. Here, an improvement of that result is provided.
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Cite
@article{arxiv.2504.19781,
title = {Non-reflexivity of the Banach space $\Lambda BV^{(p)}$},
author = {Batoul S. Mortazavi-Samarin and Mehdi Rostami},
journal= {arXiv preprint arXiv:2504.19781},
year = {2025}
}
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