Hemanta Kalita, Bipan Hazarika, Timothy Myers

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The purpose of this paper is to construct a new class of separable Banach spaces $\mathbb{K}^p[\mathbb{B}], \; 1\leq p \leq \infty$ on separable Banach space $\mathbb{B}.$ Each of these spaces contain the $ \mathcal{L}^p[\mathbb{B}] $ spaces. These spaces are of interest because they also contain the Henstock-Kurzweil integrable functions on $\mathbb{B}.$


Henstock-Kurzweil integrable function; Uniformly convex; Compact dense embedding; Kuelbs-Seadman space.

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DOI: https://doi.org/10.22190/FUMI210424077K


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