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

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.

Author: A. Dvurečenskij; J. Janda

Source: https://archive.org/