The Uniqueness Problem of Sequence Product on Operator Effect Algebra $\varepsilon (H)$
Mathematical Physics
2017-11-10 v3 math.MP
Operator Algebras
Quantum Algebra
Quantum Physics
Abstract
A quantum effect is an operator on a complex Hilbert space that satisfies . We denote the set of all quantum effects by . In this paper we prove, Theorem 4.3, on the theory of sequential product on which shows, in fact, that there are sequential products on which are not of the generalized L\"{u}ders form. This result answers a Gudder's open problem negatively.
Cite
@article{arxiv.0812.0630,
title = {The Uniqueness Problem of Sequence Product on Operator Effect Algebra $\varepsilon (H)$},
author = {Liu Weihua and Wu Junde},
journal= {arXiv preprint arXiv:0812.0630},
year = {2017}
}