TY  - JOUR
ID  - Cho2018
LB  - Cho2018
AU  - Cho, Ilwoo
AU  - Jorgensen, Palle E. T.
TI  - Banach *-algebras generated by semicircular elements induced by certain orthogonal projections
ST  - Banach *-algebras generated by semicircular elements induced by certain orthogonal projections
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2018
VL  - 38
IS  - 4
SP  - 501
EP  - 535
DO  - https://doi.org/10.7494/OpMath.2018.38.4.501
UR  - https://doi.org/10.7494/OpMath.2018.38.4.501
AB  - The main purpose of this paper is to study structure theorems of Banach \(*\)-algebras generated by semicircular elements. In particular, we are interested in the cases where given semicircular elements are induced by orthogonal projections in a \(C^{*}\)-probability space.
KW  - free probability
KW  - orthogonal projections
KW  - weighted-semicircular elements
KW  - semicircular elements
SN  - 1232-9274
ER  -