A Pettis-type integral and applications to transition semigroups

Title:

A Pettis-type integral and applications to transition semigroups

Creator:

Kunze, Markus

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:d102432f-bfa6-44c5-88fd-15de5209b5c6
uuid:d102432f-bfa6-44c5-88fd-15de5209b5c6

Subject:

Pettis-type integral, dual pairs, Laplace transform, and transition semigroup

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

Motivated by applications to transition semigroups, we introduce the notion of a norming dual pair and study a Pettis-type integral on such pairs. In particular, we establish a sufficient condition for integrability. We also introduce and study a class of semigroups on such dual pairs which are an abstract version of transition semigroups. Using our results, we give conditions ensuring that a semigroup consisting of kernel operators has a Laplace transform which also consists of kernel operators. We also provide conditions under which a semigroup is uniquely determined by its Laplace transform.

Language:

English

Rights:

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

Coverage:

437-459

Source:

Czechoslovak Mathematical Journal | 2011 Volume:61 | Number:2

Harvested from:

CDK

Metadata only:

false