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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| Формат: | Journal article |
| Мова: | English |
| Опубліковано: |
Springer-Verlag
1979
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| Резюме: | 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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