On Bilinear Forms from the Point of View of Generalized Effect Algebras
Mathematical Physics
2015-06-15 v1 math.MP
Abstract
We study positive bilinear forms on a Hilbert space which are neither not necessarily bounded nor induced by some positive operator. We show when different families of bilinear forms can be described as a generalized effect algebra. In addition, we present families which are or are not monotone downwards (Dedekind upwards) -complete generalized effect algebras.
Keywords
Cite
@article{arxiv.1304.0739,
title = {On Bilinear Forms from the Point of View of Generalized Effect Algebras},
author = {A. Dvurečenskij and J. Janda},
journal= {arXiv preprint arXiv:1304.0739},
year = {2015}
}