Publication details
On Bilinear Forms from the Point of View of Generalized Effect Algebras
| Authors | |
|---|---|
| Year of publication | 2013 |
| Type | Article in Periodical |
| Magazine / Source | Foundations of Physics |
| MU Faculty or unit | |
| Citation | |
| Web | http://link.springer.com/article/10.1007%2Fs10701-013-9736-2 |
| Doi | http://dx.doi.org/10.1007/s10701-013-9736-2 |
| Field | General mathematics |
| Keywords | Effect algebra; generalized effect algebra; Hilbert space; operator; unbounded operator; bilinear form; singular bilinear form; regular bilinear form; monotone convergence |
| Description | 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. |
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