On the powers of Voiculescu's circular element

@article{FerencOravecz2001,
abstract = {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.},
author = {Ferenc Oravecz},
journal = {Studia Mathematica},
keywords = {-probability space; generalized Catalan numbers},
language = {eng},
number = {1},
pages = {85-95},
title = {On the powers of Voiculescu's circular element},
url = {http://eudml.org/doc/285360},
volume = {145},
year = {2001},
}

TY - JOUR
AU - Ferenc Oravecz
TI - On the powers of Voiculescu's circular element
JO - Studia Mathematica
PY - 2001
VL - 145
IS - 1
SP - 85
EP - 95
AB - 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.
LA - eng
KW - -probability space; generalized Catalan numbers
UR - http://eudml.org/doc/285360
ER -