Non-reflexivity of the Banach space ΛBV^(p)

2025/04/28 by Batoul S. Mortazavi-Samarin, Mortazavi-Samarin, Batoul S., Mehdi Rostami +1
Mathematics · Computer Science · #Advanced Banach Space Theory #Fixed Point Theorems Analysis #Optimization and Variational Analysis

paper · pdf · doi:10.48550/arxiv.2504.19781

Abstract

In this paper, we show that the Waterman-Shiba space is non-reflexive. In fact, Prus-Wiśniowski and Ruckle, in \cite1, 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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