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- W2912289556 abstract "We study the properties of the analogue of R-diagonal operators in the setting of bi-free probability. Products of bi-R-diagonal pairs of operators that are $*$-bi-free are studied and powers of such pairs are found to also be bi-R-diagonal. It is moreover shown that the joint $*$-distribution of a bi-R-diagonal pair of operators remains invariant under the multiplication by a $*$-bi-free bi-Haar unitary pair and equivalent characterizations of the condition of bi-R-diagonality are developed." @default.
- W2912289556 created "2019-02-21" @default.
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- W2912289556 date "2019-02-04" @default.
- W2912289556 modified "2023-09-27" @default.
- W2912289556 title "On Bi-R-Diagonal Pairs of Operators" @default.
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