The Average Value Inequality in Sequential Effect Algebras
A sequential effect algebra （E, 0, 1, ,o） is an effect algebra on which a sequential product o with certain physics properties is defined; in particular, sequential effect algebra is an important model for studying quantum measurement theory. In 2005, Gudder asked the following problem： If a, b E （E...
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| Veröffentlicht in: | Acta mathematica Sinica. English series 2010-05, Vol.26 (5), p.831-836 |
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| container_title | Acta mathematica Sinica. English series |
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| creator | Shen, Jun De Wu, Jun |
| description | A sequential effect algebra （E, 0, 1, ,o） is an effect algebra on which a sequential product o with certain physics properties is defined; in particular, sequential effect algebra is an important model for studying quantum measurement theory. In 2005, Gudder asked the following problem： If a, b E （E, 0, 1, , o） and a⊥b and a o b⊥a o b, is it the case that 2（a o b） ≤ a2 b2 ？ In this paper, we construct an example to answer the problem negatively. |
| doi_str_mv | 10.1007/s10114-009-8683-5 |
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| subjects | Algebra Mathematical analysis Mathematics Mathematics and Statistics Studies 均值不等式 效应代数 测量理论 物理性能 |
| title | The Average Value Inequality in Sequential Effect Algebras |
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