Dieudonné-type theorems for lattice group-valued k-triangular set functions

Title:

Dieudonné-type theorems for lattice group-valued k-triangular set functions

Creator:

Boccuto , Antonio and Dimitriou, Xenofon

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:0aca8512-d047-43f3-a6cc-1463dbecf536
uuid:0aca8512-d047-43f3-a6cc-1463dbecf536
doi:10.14736/kyb-2019-2-0233

Subject:

Dieudonné theorem, limit theorem, lattice group, (D)-convergence, k-triangular set function, (s)-bounded set function, Fremlin lemma, Brooks-Jewett theorem, and Nikodým boundedness theorem

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

Some versions of Dieudonné-type convergence and uniform boundedness theorems are proved, for k-triangular and regular lattice group-valued set functions. We use sliding hump techniques and direct methods. We extend earlier results, proved in the real case. Furthermore, we pose some open problems.

Language:

English

Rights:

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

Coverage:

233-251

Source:

Kybernetika | 2019 Volume:55 | Number:2

Harvested from:

CDK

Metadata only:

false