Abstract Integration with Respect to Measures and Applications to Modular Convergence in Vector Lattice Setting-Reference-Cited by-同舟云学术

Abstract Integration with Respect to Measures and Applications to Modular Convergence in Vector Lattice Setting

Published:2022-11-10 Issue:1 Volume:78 Page:
ISSN:1422-6383
Container-title:Results in Mathematics
language:en
Short-container-title:Results Math

Author:

Boccuto Antonio^ORCID,Sambucini Anna Rita^ORCID

Abstract

AbstractA “Bochner-type” integral for vector lattice-valued functions with respect to (possibly infinite) vector lattice-valued measures is presented with respect to abstract convergences, satisfying suitable axioms, and some fundamental properties are studied. Moreover, by means of this integral, some convergence results on operators in vector lattice-valued modulars are proved. Some applications are given to moment kernels and to the Brownian motion.

Funder

Gruppo Nazionale per l’Analisi Matematica, la Probabilità e le loro Applicazioni

University of Perugia

Board of College and University Development, Savitribai Phule Pune University

Fondazione Cassa di Risparmio di Perugia (FCRP), (2018)

UMI group TAA

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Mathematics (miscellaneous)

Link

https://link.springer.com/content/pdf/10.1007/s00025-022-01776-4.pdf

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