Bounded linear functionals on the space of Henstock-Kurzweil integrable functions

Title:

Bounded linear functionals on the space of Henstock-Kurzweil integrable functions

Creator:

Lee, Tuo-Yeong

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:2ee1d4d4-9a69-4236-abf1-a03c28d33f06
uuid:2ee1d4d4-9a69-4236-abf1-a03c28d33f06

Subject:

Henstock-Kurzweil integral, bounded linear functional, and bounded variation

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

Applying a simple integration by parts formula for the Henstock-Kurzweil integral, we obtain a simple proof of the Riesz representation theorem for the space of Henstock-Kurzweil integrable functions. Consequently, we give sufficient conditions for the existence and equality of two iterated Henstock-Kurzweil integrals.

Language:

English

Rights:

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

Coverage:

1005-1017

Source:

Czechoslovak Mathematical Journal | 2009 Volume:59 | Number:4

Harvested from:

CDK

Metadata only:

false