The Multi-form Generalised Gleason Theorem
The Multi-form Generalised Gleason Theorem
复制标题
多形式广义格里森定理
DOI：
10.1007/s002200050491
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发表时间：
1998
影响因子：
2.4
通讯作者：
J. D. Maitland Wright
中科院分区：
文献类型：
--
作者：
Oliver Rudolph;J. D. Maitland Wright
Arising from investigations of decoherence functionals in the “histories” approach to quantum mechanics, the following result is given by the methods of [14]. LetA1andA2be von Neumann algebras without TypeI2direct summands and letP(Ej), (j=1,2) be their lattices of projections. Letm\colon;P(A1)×(P(A2)→ℂ be a bounded quantum bi-measure. Then there is a unique bounded bilinear functionalMonA1×A2which extendsm. In this note we use a different approach to establish a generalisation of this result tok-fold, vector valued, quantum multi-measures. This tool is needed for further investigations of decoherence functionals in quantum theory.
