PROBABILITY ON HILBERT SPACE EFFECT ALGEBRAS

被引：0

作者：

Duchon, Miloslav ^{[1
]}

Riecan, Beloslav ^{[1
]}

机构：

[1] Slovak Acad Sci, Math Inst, SK-81473 Bratislava, Slovakia

来源：

REAL FUNCTIONS '11: RIEMANN DERANGEMENT THEOREM, MULTIFUNCTIONS, GENERALIZED CONTINUITIES, VECTOR MEASURES AND FUNCTIONS | 2012年 / 52卷

关键词：

D-poset; effect algebra; Hilbert space; linear positive operators; central limit theorem;

D O I：

10.2478/v10127-012-0034-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

An important example of an effect algebra (in other terminology a D-poset) has been constructed by linear positive operators on a Hilbert space. In the paper basic notions of probability theory are exposed and the central limit theorem is proved. Some similar results on D-lattices are known, but the effect algebra studied here need not be a lattice.

引用

页码：141 / 151

页数：11

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[6]

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