On Geometric properties of Henstock-Orlicz spaces
Hemanta Kalita, Salvador S\'anchez Perales, Bipan Hazarika
TL;DR
This paper extends the theory of Henstock-Orlicz spaces with vector measures, exploring their geometric properties, operator representations, and key functional analysis features such as convexity and reflexivity.
Contribution
It introduces new results on the geometric and structural properties of Henstock-Orlicz spaces related to vector measures.
Findings
Characterization of uniform convexity in Henstock-Orlicz spaces
Reflexivity conditions established for these spaces
Analysis of the Radon-Nikodym property in the context of Henstock-Orlicz spaces
Abstract
In this paper we extend the theory of Henstock-Orlicz spaces with respect to vector measure. We study the integral representation of operators. Lastly we study Uniformly convexity, reflexivity and the Radon-Nikodym property of the Henstock-Orlicz spaces
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Taxonomy
TopicsAdvanced Banach Space Theory · Advanced Harmonic Analysis Research · Optimization and Variational Analysis