Lattice properties of quantum effects
Lattice properties of quantum effects
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DOI：
10.1063/1.531533
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发表时间：
1996-06
影响因子：
1.3
通讯作者：
S. Gudder
中科院分区：
文献类型：
--
作者：
S. Gudder
给出了两种量子效应A和B的极小值AΛB存在的充分条件。用纯点谱对A和B进行交换，证明了AΛB的存在性。研究了广义上极值和上极值的性质。将以往一些有限维、可交换的结果推广到无限维和非可交换的情况。
Sufficient conditions for the existence of the infimum AΛB of two quantum effects A and B are given. The existence of AΛB is characterized for commuting A and B with pure point spectrum. Properties of a generalized infimum and supremum are studied. Some previous finite dimensional, commutative results are extended to the infinite dimensional and noncommutative case.