On the powers of Voiculescu's circular element
Tom 145 / 2001
Studia Mathematica 145 (2001), 85-95
MSC: 46L53, 06A07.
DOI: 10.4064/sm145-1-6
Streszczenie
The main result of the paper is that for a circular element in a C^{*}-probability space, ( c^n,c^{n^{*}}) is an R-diagonal pair in the sense of Nica and Speicher for every n=1,2,\dots The coefficients of the R-series are found to be the generalized Catalan numbers of parameter n-1.
