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Published in 2021 at "Infinite Dimensional Analysis, Quantum Probability and Related Topics"
DOI: 10.1142/s0219025721500193
Abstract: We introduce the notion of operator-valued infinitesimal (OVI) Boolean independence and OVI monotone independence. Then we show that OVI Boolean (respectively, monotone) independence is equivalent to the operator-valued (OV) Boolean (respectively, monotone) independence over an…
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Keywords:
operator valued;
valued infinitesimal;
monotone independence;
boolean monotone ... See more keywords