A continous version of Orlicz-Pettis theorem via vector-valued Henstock-Kurzweil integrals

Title:

A continous version of Orlicz-Pettis theorem via vector-valued Henstock-Kurzweil integrals

Creator:

Fong, C. K.

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:159b9dd9-e966-46be-9a2c-dc4993f0159e
uuid:159b9dd9-e966-46be-9a2c-dc4993f0159e

Subject:

Pettis integrability, HK-integrals, and Saks-Henstock’s property

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

We show that a Pettis integrable function from a closed interval to a Banach space is Henstock-Kurzweil integrable. This result can be considered as a continuous version of the celebrated Orlicz-Pettis theorem concerning series in Banach spaces.

Language:

English

Rights:

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

Coverage:

531-536

Source:

Czechoslovak Mathematical Journal | 2002 Volume:52 | Number:3

Harvested from:

CDK

Metadata only:

false