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

Acta Polytechnica

Z. Riečanová¹ 

关键词: quantum structures;    (generalized) effect algebra;    Hilbert space;    (unbounded) positive linear operator;   

DOI  :  

来源: Czech Technical University in Prague, Faculty of M

【 摘 要 】

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.

【 授权许可】

Unknown