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...

Olles dieđut

Bibliográfalaš dieđut
Váldodahkki: Batty, C
Materiálatiipa: Journal article
Giella:English
Almmustuhtton: Springer-Verlag 1979
Govvádus
Čoahkkáigeassu: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.