STRONG LAW OF LARGE NUMBERS FOR STATES AND TRACES OF A W-STAR-ALGEBRA

STRONG LAW OF LARGE NUMBERS FOR STATES AND TRACES OF A W-STAR-ALGEBRA

Let {Mathematical expression} be a W*-algebra with faithful normal state ρ. Several different notions of independence with respect to ρ are introduced for operators in {Mathematical expression}. A non-commutative extension of the strong law of large numbers is proved. When ρ is a trace, this theorem...

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Bibliografische gegevens
Hoofdauteur: Batty, C
Formaat: Journal article
Taal:English
Gepubliceerd in: Springer-Verlag 1979
Omschrijving
Samenvatting:Let {Mathematical expression} be a W*-algebra with faithful normal state ρ. Several different notions of independence with respect to ρ are introduced for operators in {Mathematical expression}. A non-commutative extension of the strong law of large numbers is proved. When ρ is a trace, this theorem is extended to cover unbounded operators associated with A. © 1979 Springer-Verlag.

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