Lars Aagaard

most citedA Banach Algebra Approach To Amalgamated R- and S-transforms

7 citations · 8 across the 3 of their papers we have counts for

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math.OA2004

Moment Formulas For The Quasi-Nilpotent DT-Operator

L. Aagaard, U. Haagerup

Let T be the quasi-nilpotent DT-operator. By use of Voiculescu's amalgamated R-transform we compute the moments of $(T - λ 1)^{*} (T - λ 1)$ , where $λ \in C$ , and the Brown-measure o…

math.OA2004★ 7 cited

A Banach Algebra Approach To Amalgamated R- and S-transforms

L. Aagaard

We give a Banach algebra approach to the additiveness property of Voiculescu's amalgamated R-transform. We also define an amalgamated S-transform and prove that it is multiplicativ…

math.OA2003★ 1 cited

The non-microstates free entropy dimension of DT-operators

Lars Aagaard

Dykema and Haagerup introduced the class of DT-operators and also showed that every DT-operator generate the von Neumann algebra generated by the free group on two generators. In t…