書誌事項
- 公開日
- 2004-02
- DOI
-
- 10.1353/ajm.2004.0004
- 公開者
- Project MUSE
説明
<jats:p xml:lang="en"> The DT-operators are introduced, one for every pair (μ, c ) consisting of a compactly supported Borel probability measure μ on the complex plane and a constant c > 0. These are operators on Hilbert space that are defined as limits in *-moments of certain upper triangular random matrices. The DT-operators include Voiculescu's circular operator and elliptic deformations of it, as well as the circular free Poisson operators. We show that every DT-operator is strongly decomposable. We also show that a DT-operator generates a II 1 -factor, whose isomorphism class depends only on the number and sizes of atoms of μ. Those DT-operators that are also R-diagonal are identified. For a quasi-nilpotent DT-operator T , we find the distribution of T*T and a recursion formula for general *-moments of T .</jats:p>
収録刊行物
-
- American Journal of Mathematics
-
American Journal of Mathematics 126 (1), 121-189, 2004-02
Project MUSE