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Volumn , Issue 1, 2003, Pages 51-64

Inequality for Voiculescu's free entropy in terms of Brown measure

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EID: 0038578409     PISSN: 10737928     EISSN: None     Source Type: Journal    
DOI: 10.1155/s1073792803201070     Document Type: Article
Times cited : (6)

References (16)
  • 1
    • 0002792520 scopus 로고
    • Lidskiǐ's theorem in the type II case
    • Geometric Methods in Operator Algebras (Kyoto), Longman Sci. Tech., Harlow
    • L. G. Brown, Lidskiǐ's theorem in the type II case, Geometric Methods in Operator Algebras (Kyoto, 1983), Pitman Res. Notes Math. Ser., vol. 123, Longman Sci. Tech., Harlow, 1986, pp. 1-35.
    • (1983) Pitman Res. Notes Math. Ser. , vol.123 , pp. 1-35
    • Brown, L.G.1
  • 2
    • 0035541306 scopus 로고    scopus 로고
    • Invariant subspaces of Voiculescu's circular operator
    • K. Dykema and U. Haagerup, Invariant subspaces of Voiculescu's circular operator, Geom. Funct. Anal. 11 (2001), no. 4, 693-741.
    • (2001) Geom. Funct. Anal. , vol.11 , Issue.4 , pp. 693-741
    • Dykema, K.1    Haagerup, U.2
  • 4
    • 0001260520 scopus 로고
    • Determinant theory in finite factors
    • B. Fuglede and R. V. Kadison, Determinant theory in finite factors, Ann. of Math. (2) 55 (1952), 520-530.
    • (1952) Ann. of Math. (2) , vol.55 , pp. 520-530
    • Fuglede, B.1    Kadison, R.V.2
  • 5
    • 0000020190 scopus 로고    scopus 로고
    • Applications of free entropy to finite von Neumann algebras
    • L. Ge, Applications of free entropy to finite von Neumann algebras, Amer. J. Math. 119 (1997), no. 2, 467-485.
    • (1997) Amer. J. Math. , vol.119 , Issue.2 , pp. 467-485
    • Ge, L.1
  • 6
    • 0032386640 scopus 로고    scopus 로고
    • Applications of free entropy to finite von Neumann algebras. II
    • _, Applications of free entropy to finite von Neumann algebras. II, Ann. of Math. (2) 147 (1998), no. 1, 143-157.
    • (1998) Ann. of Math. (2) , vol.147 , Issue.1 , pp. 143-157
  • 7
    • 0001436319 scopus 로고
    • A limit theorem for the norm of random matrices
    • S. Geman, A limit theorem for the norm of random matrices, Ann. Probab. 8 (1980), no. 2, 252-261.
    • (1980) Ann. Probab. , vol.8 , Issue.2 , pp. 252-261
    • Geman, S.1
  • 9
    • 0011575943 scopus 로고    scopus 로고
    • Free entropy and approximate equivalence in von Neumann algebras
    • Shanghai, American Mathematical Society, Rhode Island
    • D. Hadwin, Free entropy and approximate equivalence in von Neumann algebras, Operator Algebras and Operator Theory (Shanghai, 1997), American Mathematical Society, Rhode Island, 1998, pp. 111-131.
    • (1997) Operator Algebras and Operator Theory , pp. 111-131
    • Hadwin, D.1
  • 11
    • 0008392841 scopus 로고    scopus 로고
    • Maximality of the microstates free entropy for R-diagonal elements
    • A. Nica, D. Shlyakhtenko, and R. Speicher, Maximality of the microstates free entropy for R-diagonal elements, Pacific J. Math. 187 (1999), no. 2, 333-347.
    • (1999) Pacific J. Math. , vol.187 , Issue.2 , pp. 333-347
    • Nica, A.1    Shlyakhtenko, D.2    Speicher, R.3
  • 13
    • 25344478135 scopus 로고    scopus 로고
    • Random regularization of Brown spectral measure
    • F. Śniady, Random regularization of Brown spectral measure, to appear in J. Funct. Anal.
    • J. Funct. Anal.
    • Śniady, F.1
  • 14
    • 0001069132 scopus 로고    scopus 로고
    • Mixed moments of Voiculescu's Gaussian random matrices
    • S. Thorbjørnsen, Mixed moments of Voiculescu's Gaussian random matrices, J. Funct. Anal. 176 (2000), no. 2, 213-246.
    • (2000) J. Funct. Anal. , vol.176 , Issue.2 , pp. 213-246
    • Thorbjørnsen, S.1
  • 15
    • 0000523766 scopus 로고
    • The analogues of entropy and of Fisher's information measure in free probability theory. II
    • D. Voiculescu, The analogues of entropy and of Fisher's information measure in free probability theory. II, Invent. Math. 118 (1994), no. 3, 411-440.
    • (1994) Invent. Math. , vol.118 , Issue.3 , pp. 411-440
    • Voiculescu, D.1
  • 16
    • 0030544382 scopus 로고    scopus 로고
    • The analogues of entropy and of Fisher's information measure in free probability theory. III. The absence of Carton subalgebras
    • _, The analogues of entropy and of Fisher's information measure in free probability theory. III. The absence of Carton subalgebras, Geom. Funct. Anal. 6 (1996), no. 1,172-199.
    • (1996) Geom. Funct. Anal. , vol.6 , Issue.1 , pp. 172-199


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.