A Riesz representation theorem for the space of Henstock integrable vector-valued functions (Q1640321)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: A Riesz representation theorem for the space of Henstock integrable vector-valued functions |
scientific article; zbMATH DE number 6888531
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A Riesz representation theorem for the space of Henstock integrable vector-valued functions |
scientific article; zbMATH DE number 6888531 |
Statements
A Riesz representation theorem for the space of Henstock integrable vector-valued functions (English)
0 references
14 June 2018
0 references
Summary: Using a bounded bilinear operator, we define the Henstock-Stieltjes integral for vector-valued functions; we prove some integration by parts theorems for the Henstock integral and a Riesz-type theorem which provides an alternative proof of the representation theorem for real functions proved by \textit{A. Alexiewicz} [Colloq. Math. 1, 289--293 (1948; Zbl 0037.32302)].
0 references
Henstock-Stieltjes integral
0 references
vector-valued function
0 references
0.8952359
0 references
0.8940906
0 references
