Approach to the construction of the spaces SD^p[ℝ^∞] for 1 ≤ p ≤ ∞

2019/12/28 by Kalita, Hemanta, Hazarika, Bipan
#46B03 #46B20 #46B25 #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.2001.00005

Abstract

The objective of this paper is to construct separable Banach spaces SD^p[ℝ^∞] for 1≤ p ≤ ∞, each of which contains the L^p[ℝ^∞] spaces, as well as finitely additive measures, as compact dense embedding. Also these spaces contains Henstock-Kurzweil integrable functions.

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