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Volumn 15, Issue 6, 2004, Pages 581-628

Moment formulas for the quasi-nilpotent DT-operator

Author keywords

Brown measure; Free probability; Random matrices

Indexed keywords


EID: 7244257462     PISSN: 0129167X     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0129167X04002466     Document Type: Article
Times cited : (10)

References (13)
  • 1
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    • The non-microstates free entropy dimension of DT-operators
    • to appear in
    • L. Aagaard, The non-microstates free entropy dimension of DT-operators, to appear in J. Funct. Anal.
    • J. Funct. Anal.
    • Aagaard, L.1
  • 3
    • 1042275757 scopus 로고    scopus 로고
    • Computation of some examples of Brown's spectral measure
    • P. Biane and F. Lehner, Computation of some examples of Brown's spectral measure, Colloq. Math. 90 (2001) 181-211.
    • (2001) Colloq. Math. , vol.90 , pp. 181-211
    • Biane, P.1    Lehner, F.2
  • 4
    • 1042302940 scopus 로고    scopus 로고
    • DT-operators and decomposability of Voiculescu's circular operator
    • K. Dykema and U. Haagerup, DT-operators and decomposability of Voiculescu's circular operator, Amer. J. Math. 126 (2004) 121-189.
    • (2004) Amer. J. Math. , vol.126 , pp. 121-189
    • Dykema, K.1    Haagerup, U.2
  • 5
    • 1842683273 scopus 로고    scopus 로고
    • Invariant subspaces of the quasinilpotent DT-operator
    • _, Invariant subspaces of the quasinilpotent DT-operator, J. Funct. Anal. 209 (2004) 332-366.
    • (2004) J. Funct. Anal. , vol.209 , pp. 332-366
  • 7
    • 0001164604 scopus 로고    scopus 로고
    • Brown's spectral distribution measure for Script R sign-diagonal elements in finite von Neumann algebras
    • U. Haagerup and F. Larsen, Brown's spectral distribution measure for Script R sign-diagonal elements in finite von Neumann algebras, J. Funct. Anal. 176 (2000) 331-367.
    • (2000) J. Funct. Anal. , vol.176 , pp. 331-367
    • Haagerup, U.1    Larsen, F.2
  • 8
    • 0038578409 scopus 로고    scopus 로고
    • Inequality for Voiculescu's entropy in terms of Brown measure
    • P. Śniady, Inequality for Voiculescu's entropy in terms of Brown measure, Int. Math. Res. Notices (2003) 51-64.
    • (2003) Int. Math. Res. Notices , pp. 51-64
    • Śniady, P.1
  • 9
    • 7244226138 scopus 로고    scopus 로고
    • Multinomal identities arising from the free probability
    • _, Multinomal identities arising from the free probability, J. Comb. Theory, A101(1) (2003) 1-19.
    • (2003) J. Comb. Theory , vol.A101 , Issue.1 , pp. 1-19
  • 10
    • 0035619573 scopus 로고    scopus 로고
    • Continuous family of invariant subspaces for Script R sign-diagonal operators
    • P. Śniady and R. Speicher, Continuous family of invariant subspaces for Script R sign-diagonal operators, Invent. Math. 146(2) (2001) 329-363.
    • (2001) Invent. Math. , vol.146 , Issue.2 , pp. 329-363
    • Śniady, P.1    Speicher, R.2
  • 11
    • 4243230786 scopus 로고    scopus 로고
    • Combinatorial theory of the free product with amalgamation and operator-valued free probability theory
    • R. Speicher, Combinatorial theory of the free product with amalgamation and operator-valued free probability theory, Mem. Amer. Math. Soc. 132(627) (1998) x+88 pp.
    • (1998) Mem. Amer. Math. Soc. , vol.132 , Issue.627
    • Speicher, R.1
  • 13
    • 0001089654 scopus 로고
    • Operations on certain non-commutative operator-valued random variables
    • D. Voiculescu, Operations on certain non-commutative operator-valued random variables, Recent Advances in Operator Algebras, Astérisque 232 (1995) 243-275.
    • (1995) Recent Advances in Operator Algebras, Astérisque , vol.232 , pp. 243-275
    • Voiculescu, D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.