The monotone convergence theorem for multidimensional abstract Kurzweil vector integrals

Title:

The monotone convergence theorem for multidimensional abstract Kurzweil vector integrals

Creator:

Federson, Márcia

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:5e5d8ff6-4762-4c61-ab63-eae91b623650
uuid:5e5d8ff6-4762-4c61-ab63-eae91b623650

Subject:

Monotone Convergence Theorem, Kurzweil vector integral, and ordered normed spaces

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

We prove two versions of the Monotone Convergence Theorem for the vector integral of Kurzweil, $\int _R{\mathrm d}\alpha (t) f(t)$, where $R$ is a compact interval of $\mathbb{R}^n$, $\alpha $ and $f$ are functions with values on $L(Z,W)$ and $Z$ respectively, and $Z$ and $W$ are monotone ordered normed spaces. Analogous results can be obtained for the Kurzweil vector integral, $\int _R\alpha (t)\mathrm{d}f(t)$, as well as to unbounded intervals $R$.

Language:

English

Rights:

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

Coverage:

429-437

Source:

Czechoslovak Mathematical Journal | 2002 Volume:52 | Number:2

Harvested from:

CDK

Metadata only:

false