## On Bilinear Forms from the Point of View of Generalized Effect Algebras    [PDF]

A. Dvurečenskij, J. Janda
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) $\sigma$-complete generalized effect algebras.
View original: http://arxiv.org/abs/1304.0739