On the powers of Voiculescu's circular element

• Autorzy: Ferenc Oravecz
• Języki publikacji: EN

Abstrakty

EN

The main result of the paper is that for a circular element c in a C*-probability space, $(cⁿ,c^{n*})$ 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.

Kategorie tematyczne

• 46L53: Noncommutative probability and statistics
• 06A07: Combinatorics of partially ordered sets

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2001
• Tom: 145
• Numer: 1
• Strony: 85-95

Daty

wydano

2001

Twórcy

autor

Ferenc Oravecz

• Mathematical Institute of the Hungarian Academy of Sciences, Realtanoda u. 13-15, H-1053 Budapest, Hungary

Identyfikatory

DOI

10.4064/sm145-1-6