On the Henstock-Kurzweil integral for Riesz-space-valued functions defined on unbounded intervals

Title:

On the Henstock-Kurzweil integral for Riesz-space-valued functions defined on unbounded intervals

Creator:

Boccuto, Antonio and Riečan, Beloslav

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:73350ab2-f6ed-4de2-a275-d4e34d449461
uuid:73350ab2-f6ed-4de2-a275-d4e34d449461

Subject:

Riesz spaces and Henstock-Kurzweil integral

Type:

model:article and TEXT

Description:

In this paper we introduce and investigate a Henstock-Kurzweil-type integral for Riesz-space-valued functions defined on (not necessarily bounded) subintervals of the extended real line. We prove some basic properties, among them the fact that our integral contains under suitable hypothesis the generalized Riemann integral and that every simple function which vanishes outside of a set of finite Lebesgue measure is integrable according to our definition, and in this case our integral coincides with the usual one.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

591-607

Source:

Czechoslovak Mathematical Journal | 2004 Volume:54 | Number:3

Harvested from:

CDK

Metadata only:

false