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WROCŁAW UNIVERSITY
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Contents of PMS, Vol. 33, Fasc. 2,
pages 341 - 352
 

AN EXAMPLE OF A BOOLEAN-FREE TYPE CENTRAL LIMIT THEOREM

Anna Kula
Janusz Wysoczański

Abstract: We construct a product of Hilbert spaces and associated product of operators, which generalizes the boolean and the free products and provides a model for new independence. The related Central Limit Theorem is proved.

2000 AMS Mathematics Subject Classification: Primary: 60F05, 60B12; Secondary: 05A18, 06A07, 46L53. Keywords and phrases: Free independence, boolean independence, noncommutative CLT, partially ordered sets.

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