On the powers of Voiculescu's circular element
Ferenc Oravecz
Studia Mathematica, Tome 147 (2001), p. 85-95 / Harvested from The Polish Digital Mathematics Library
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The main result of the paper is that for a circular element c in a C*-probability space, (cⁿ,cn*) is an R-diagonal pair in the sense of Nica and Speicher for every n = 1,2,... The coefficients of the R-series are found to be the generalized Catalan numbers of parameter n-1.

Publié le : 2001-01-01
EUDML-ID : urn:eudml:doc:285360 
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Ferenc Oravecz. On the powers of Voiculescu's circular element. Studia Mathematica, Tome 147 (2001) pp. 85-95. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm145-1-6/