On the strong McShane integral of functions with values in a Banach space

Title:

On the strong McShane integral of functions with values in a Banach space

Creator:

Schwabik, Štefan and Guoju, Ye

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:ab914ca9-34da-4edf-a159-06eb13139e6d
uuid:ab914ca9-34da-4edf-a159-06eb13139e6d

Subject:

Bochner integral and strong McShane integral

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

The classical Bochner integral is compared with the McShane concept of integration based on Riemann type integral sums. It turns out that the Bochner integrable functions form a proper subclass of the set of functions which are McShane integrable provided the Banach space to which the values of functions belong is infinite-dimensional. The Bochner integrable functions are characterized by using gauge techniques. The situation is different in the case of finite-dimensional valued vector functions.

Language:

English

Rights:

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

Coverage:

819-828

Source:

Czechoslovak Mathematical Journal | 2001 Volume:51 | Number:4

Harvested from:

CDK

Metadata only:

false