English

Regular Gleason Measures and Generalized Effect Algebras

Mathematical Physics 2015-06-22 v1 math.MP

Abstract

We study measures, finitely additive measures, regular measures, and σ\sigma-additive measures that can attain even infinite values on the quantum logic of a Hilbert space. We show when particular classes of non-negative measures can be studied in the frame of generalized effect algebras.

Keywords

Cite

@article{arxiv.1407.5968,
  title  = {Regular Gleason Measures and Generalized Effect Algebras},
  author = {Anatolij Dvurečenskij and Jiří Janda},
  journal= {arXiv preprint arXiv:1407.5968},
  year   = {2015}
}
R2 v1 2026-06-22T05:10:12.449Z