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arXiv · 2504.19781

Non-reflexivity of the Banach space $\Lambda BV^{(p)}$

Batoul S. Mortazavi-Samarin·Mehdi Rostami
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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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Batoul S. Mortazavi-Samarin, Mehdi Rostami. 2025-04-28. Non-reflexivity of the Banach space $\Lambda BV^{(p)}$. https://arxiv.org/abs/2504.19781

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