Effect Algebras of Positive Self-adjoint Operators Densely Defined on Hilbert Spaces

Authors

  • Z. Riečanová

DOI:

https://doi.org/10.14311/1412

Keywords:

quantum structures, (generalized) effect algebra, Hilbert space, (unbounded) positive linear operator

Abstract

We show that (generalized) effect algebras may be suitable very simple and natural algebraic structures for sets of (unbounded) positive self-adjoint linear operators densely defined on an infinite-dimensional complex Hilbert space. In these cases the effect algebraic operation, as a total or partially defined binary operation, coincides with the usual addition of operators in Hilbert spaces.

Author Biography

Z. Riečanová

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Published

2011-01-04

Issue

Section

Articles