Belated integrals
type: Item
instance of: scholarly article
title: Belated integrals
zbMATH Open document ID: 0623.60065
DOI: 10.1016/0022-1236(86)90060-1
published in: Journal of Functional Analysis
publication date: 1986-01-01T00:00:00Z
review text: Recent theories of non-commutative stochastic integral have indicated that it is a kind of vector Riemann-Stieltjes integral. Earlier \textit{R. G. Bartle} [Studia Math. 15, 337-352 (1956; Zbl 0070.281)] developed a bilinear vector integral which at first sight appears to be a natural setting for the non-commutative stochastic integral. However it was shown that the non-commutative stochastic integral could not be obtained using Bartle's vector integral. In this paper the authors show that by weakening a few of the requirements of Bartle's theory (on \(R^+)\) they get an integration theory on \(R^+\) which has as special cases each of the integrals described in previous papers of the authors and \textit{R. F. Streater} [see e.g. Math. Proc. Camb. Philos. Soc. 94, 541-551 (1983; Zbl 0546.60037)].
Mathematics Subject Classification ID: 60H05
Mathematics Subject Classification ID: 46L51
Mathematics Subject Classification ID: 46L53
Mathematics Subject Classification ID: 46L54
Mathematics Subject Classification ID: 81P20
zbMATH DE Number: 4011575
zbMATH Keywords: belated integrals
zbMATH Keywords: non-commutative stochastic integral
zbMATH Keywords: bilinear vector integral
author: Christopher Barnett
author: Ivan F. Wilde
reviewed by: Sh. A. Ayupov
MaRDI profile type: Publication
full work available at URL: 0022-1236(86)90060-1
OpenAlex ID: W4206623405
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description: scientific article; zbMATH DE number 4011575