English

L-valued integration

Functional Analysis 2025-09-09 v2

Abstract

We develop integration theory for integrating functions taking values into a Dedekind complete unital ff-algebra L\mathbb{L} with respect to L\mathbb{L}-valued measures. We then discuss and prove completeness results of L\mathbb{L}-valued LpL^p-spaces.

Keywords

Cite

@article{arxiv.2408.17306,
  title  = {L-valued integration},
  author = {Xingni Jiang and Jan Harm van der Walt and Marten Wortel},
  journal= {arXiv preprint arXiv:2408.17306},
  year   = {2025}
}

Comments

23 pages