MOMENT FORMULAS FOR THE QUASI-NILPOTENT DT-OPERATOR

DOI10.1142/S0129167X04002466zbMath1056.46059arXivmath/0406170MaRDI QIDQ4820979

Lars Aagaard, Uffe Haagerup

Publication date: 1 October 2004

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0406170

zbMATH Keywords

random matricesfree probabilityBrown measure

Mathematics Subject Classification ID

Free probability and free operator algebras (46L54) General theory of von Neumann algebras (46L10) Quantum stochastic calculus (81S25) Random matrices (algebraic aspects) (15B52)

Related Items (4)

THE FREE ENTROPY DIMENSION OF SOME L^∞[0,1-CIRCULAR OPERATORS] ⋮ Eigenvalues of non-Hermitian random matrices and Brown measure of non-normal operators: Hermitian reduction and linearization method ⋮ The Brown measure of a sum of two free random variables, one of which is triangular elliptic ⋮ Non-Hermitian random matrices with a variance profile. II: properties and examples

Cites Work

• Brown's spectral distribution measure for \(R\)-diagonal elements in finite von Neumann algebras
• Multinomial identities arising from free probability theory.
• Invariant subspaces of the quasinilpotent DT-operator
• Computation of some examples of Brown's spectral measure in free probability
• DT-operators and decomposability of Voiculescu's circular operator

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