Approach to the construction of the spaces $ S{D^p}[\mathbb{R}^\infty]$ for $1 \leq p \leq \infty$

Hemanta Kalita; Bipan Hazarika

Approach to the construction of the spaces $ S{D^p}[\mathbb{R}^\infty]$ for $1 \leq p \leq \infty$

Functional Analysis 2020-07-09 v2

Authors: Hemanta Kalita , Bipan Hazarika

Abstract

The objective of this paper is to construct separable Banach spaces $S{D^p}[\mathbb{R}^\infty]$ for $1\leq p \leq \infty$ , each of which contains the $L^p[\mathbb{R}^\infty]$ spaces, as well as finitely additive measures, as compact dense embedding. Also these spaces contains Henstock-Kurzweil integrable functions.

Keywords

separable banach spaces compact dense embedding finitely additive measures henstock-kurzweil integrable functions l^p spaces

Cite

@article{arxiv.2001.00005,
  title  = {Approach to the construction of the spaces $ S{D^p}[\mathbb{R}^\infty]$ for $1 \leq p \leq \infty$},
  author = {Hemanta Kalita and Bipan Hazarika},
  journal= {arXiv preprint arXiv:2001.00005},
  year   = {2020}
}

Comments

15, revised version

Approach to the construction of the spaces $ S{D^p}[\mathbb{R}^\infty]$ for $1 \leq p \leq \infty$

Abstract

Keywords

Cite

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