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Volumn 146, Issue 2, 2001, Pages 329-363

Continuous family of invariant subspaces for R-diagonal operators

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EID: 0035619573     PISSN: 00209910     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002220100166     Document Type: Article
Times cited : (25)

References (33)
  • 1
    • 84968491335 scopus 로고
    • ਭ-algebras and von Neumann algebras
    • ਭ-algebras and von Neumann algebras, Trans. Amer. Math. Soc. 271 (1982), 423-435
    • (1982) Trans. Amer. Math. Soc. , vol.271 , pp. 423-435
    • Avitzour, D.1
  • 2
    • 21444455725 scopus 로고    scopus 로고
    • Computation of some Examples of Brown's Spectral Measure in Free Probability
    • Biane, P., Lehner, F.: Computation of some Examples of Brown's Spectral Measure in Free Probability. To appear in Colloq. Math.
    • Colloq. Math.
    • Biane, P.1    Lehner, F.2
  • 3
    • 0002792520 scopus 로고
    • Lidskii's theorem in the type II case
    • Proceedings US-Japan, Kyoto/Japan 1983
    • Brown, L.G.: Lidskii's theorem in the type II case. In: Proceedings US-Japan, Kyoto/Japan 1983, Pitman Res. Notes Math. Ser. 123 (1983), 1-35
    • (1983) Pitman Res. Notes Math. Ser. , vol.123 , pp. 1-35
    • Brown, L.G.1
  • 4
    • 21444432409 scopus 로고    scopus 로고
    • Invariant Subspaces of Voiculescu's Circular Operator
    • MaPhySto Research Report No. 12, March
    • Dykema, K., Haagerup, U.: Invariant Subspaces of Voiculescu's Circular Operator. MaPhySto Research Report No. 12, March 2000, to appear in Geom. Funct. Anal.
    • (2000) Geom. Funct. Anal.
    • Dykema, K.1    Haagerup, U.2
  • 5
    • 0001260520 scopus 로고
    • Determinant theory in finite factors
    • Fuglede, B., Kadison, R.V.: 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
  • 6
    • 0009289523 scopus 로고    scopus 로고
    • On Voiculescu's R- And S-Transforms for Free Non-Commuting Random Variables
    • Voiculescu, Dan-Virgil (ed.), Free probability theory Providence: American Mathematical Society
    • Haagerup, U.: On Voiculescu's R- and S-Transforms for Free Non-Commuting Random Variables. Voiculescu, Dan-Virgil (ed.), Free probability theory. Providence: American Mathematical Society. Fields Inst. Commun. 12 (1997), 127-148
    • (1997) Fields Inst. Commun. , vol.12 , pp. 127-148
    • Haagerup, U.1
  • 7
    • 0001164604 scopus 로고    scopus 로고
    • Brown's Spectral Distribution Measure for R-diagonal Elements in Finite von Neumann Algebras
    • Haagerup, U., Larsen, F.: Brown's Spectral Distribution Measure for R-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
    • 0005141929 scopus 로고    scopus 로고
    • The semicircle law, free random variables and entropy
    • American Mathematical Society, Providence, RI
    • Hiai, F., Petz, D.: The semicircle law, free random variables and entropy. Mathematical Surveys and Monographs, 77. American Mathematical Society, Providence, RI, 2000
    • (2000) Mathematical Surveys and Monographs , pp. 77
    • Hiai, F.1    Petz, D.2
  • 9
    • 0000513203 scopus 로고
    • Sur les partitions non croisées d'un cycle
    • Kreweras, G.: Sur les partitions non croisées d'un cycle. Discrete Math. 1 (1972), 333-350
    • (1972) Discrete Math. , vol.1 , pp. 333-350
    • Kreweras, G.1
  • 10
    • 0008293104 scopus 로고    scopus 로고
    • Combinatorics of Free Cumulants
    • Series A
    • Krawczyk, B., Speicher, R.: Combinatorics of Free Cumulants, J. Comb. Theory, Series A A90 (2000), 267-292
    • (2000) J. Comb. Theory , vol.A90 , pp. 267-292
    • Krawczyk, B.1    Speicher, R.2
  • 12
    • 0030079324 scopus 로고    scopus 로고
    • R-transforms of free joint distributions and non-crossing partitions
    • Nica, A.: R-transforms of free joint distributions and non-crossing partitions. J. Funct. Anal. 135 (1996), 271-296
    • (1996) J. Funct. Anal. , vol.135 , pp. 271-296
    • Nica, A.1
  • 13
    • 0035626117 scopus 로고    scopus 로고
    • R-diagonal Elements and Freeness with Amalgamation
    • Nica, A., Shlyakhtenko, D., Speicher, R.: R-diagonal Elements and Freeness with Amalgamation. Can. J. Math. 53 (2001), 355-381
    • (2001) Can. J. Math. , vol.53 , pp. 355-381
    • Nica, A.1    Shlyakhtenko, D.2    Speicher, R.3
  • 16
    • 0000153674 scopus 로고    scopus 로고
    • A Fourier transform for multiplicative functions on non-crossing partitions
    • Nica, A., Speicher, R.: A Fourier transform for multiplicative functions on non-crossing partitions. J. Algebr. Comb. 6 (1997), 141-160
    • (1997) J. Algebr. Comb. , vol.6 , pp. 141-160
    • Nica, A.1    Speicher, R.2
  • 17
    • 0001009889 scopus 로고    scopus 로고
    • On the multiplication of free n-tuples of noncommutative random variables
    • Nica, A., Speicher, R.: On the multiplication of free n-tuples of noncommutative random variables. Amer. J. Math. 118 (1996), 799-837
    • (1996) Amer. J. Math. , vol.118 , pp. 799-837
    • Nica, A.1    Speicher, R.2
  • 18
    • 0001102352 scopus 로고    scopus 로고
    • R-diagonal pairs-a common approach to Haar unitaries and circular elements
    • Voiculescu, Dan-Virgil (ed.), Free probability theory. Providence: American Mathematical Society
    • Nica, A., Speicher, R.: R-diagonal pairs-a common approach to Haar unitaries and circular elements. Voiculescu, Dan-Virgil (ed.), Free probability theory. Providence: American Mathematical Society. Fields Inst. Commun. 12 (1997), 149-188
    • (1997) Fields Inst. Commun. , vol.12 , pp. 149-188
    • Nica, A.1    Speicher, R.2
  • 19
    • 0001289978 scopus 로고    scopus 로고
    • Random Gaussian band matrices and freeness with amalgamation
    • Shlyakhtenko, D.: Random Gaussian band matrices and freeness with amalgamation. Int. Math. Res. Not. 1996, No. 20 (1996), 1013-1025
    • (1996) Int. Math. Res. Not. 1996 , Issue.20 , pp. 1013-1025
    • Shlyakhtenko, D.1
  • 20
    • 0008300658 scopus 로고    scopus 로고
    • R-transform of Certain Joint Distributions
    • Voiculescu, Dan-Virgil (ed.), Free probability theory. Providence: American Mathematical Society
    • Shlyakhtenko, D.: R-transform of Certain Joint Distributions. Voiculescu, Dan-Virgil (ed.), Free probability theory. Providence: American Mathematical Society. Fields Inst. Commun. 12 (1997), 253-256
    • (1997) Fields Inst. Commun. , vol.12 , pp. 253-256
    • Shlyakhtenko, D.1
  • 21
    • 0038902037 scopus 로고
    • Multiplicative functions on the lattice of noncrossing partitions and free convolution
    • Speicher, R.: Multiplicative functions on the lattice of noncrossing partitions and free convolution. Math. Ann. 298 (1994), 611-628
    • (1994) Math. Ann. , vol.298 , pp. 611-628
    • Speicher, R.1
  • 22
    • 0002058515 scopus 로고    scopus 로고
    • Free probability theory and non-crossing partitions
    • Speicher, R.: Free probability theory and non-crossing partitions. Semainaire Loth. Comb. B39c (1997)
    • (1997) Semainaire Loth. Comb. , vol.B39C
    • Speicher, R.1
  • 23
    • 0009890105 scopus 로고    scopus 로고
    • On universal products
    • Voiculescu, Dan-Virgil (ed.), Free probability theory. Providence: American Mathematical Society
    • Speicher, R.: On universal products. Voiculescu, Dan-Virgil (ed.), Free probability theory. Providence: American Mathematical Society. Fields Inst. Commun. 12 (1997), 257-266
    • (1997) Fields Inst. Commun. , vol.12 , pp. 257-266
    • Speicher, R.1
  • 24
    • 4243230786 scopus 로고    scopus 로고
    • Combinatorial theory of the free product with amalgamation and operator-valued free probability theory
    • Speicher, R.: Combinatorial theory of the free product with amalgamation and operator-valued free probability theory. Mem. Am. Math. Soc. 132 (1998) x + 88
    • (1998) Mem. Am. Math. Soc. , vol.132
    • Speicher, R.1
  • 25
    • 21444457897 scopus 로고    scopus 로고
    • Combinatorics of free probability theory
    • Paris
    • Speicher, R.: Combinatorics of free probability theory. Lectures at IHP, Paris 1999
    • (1999) Lectures at IHP
    • Speicher, R.1
  • 26
    • 0001146474 scopus 로고
    • ਭ-algebras
    • Operator Algebras and their Connection with Topology and Ergodic Theory Springer, Heidelberg
    • ਭ-algebras, in: Operator Algebras and their Connection with Topology and Ergodic Theory. Lecture Notes in Mathematics, Vol. 1132, Springer, Heidelberg, 1985, pp. 556-588
    • (1985) Lecture Notes in Mathematics , vol.1132 , pp. 556-588
    • Voiculescu, D.1
  • 27
    • 0000404789 scopus 로고
    • Addition of certain non-commutative random variables
    • Voiculescu, D.: Addition of certain non-commutative random variables. J. Funct. Anal. 66 (1986), 323-346
    • (1986) J. Funct. Anal. , vol.66 , pp. 323-346
    • Voiculescu, D.1
  • 28
    • 0001465703 scopus 로고
    • Multiplication of certain non-commutative random variables
    • Voiculescu, D.: Multiplication of certain non-commutative random variables. J. Operator Theory 18 (1987), 223-235
    • (1987) J. Operator Theory , vol.18 , pp. 223-235
    • Voiculescu, D.1
  • 29
    • 0007078846 scopus 로고
    • Noncommutative random variables and spectral problems in free product C*-algebras
    • Voiculescu, D.: Noncommutative random variables and spectral problems in free product C*-algebras. Rocky Mt. J. Math. 20 (1990), 263-283
    • (1990) Rocky Mt. J. Math. , vol.20 , pp. 263-283
    • Voiculescu, D.1
  • 30
    • 0000215544 scopus 로고
    • Limit laws for random matrices and free products
    • Voiculescu, D.: Limit laws for random matrices and free products. Invent, math. 104 (1991), 201-220
    • (1991) Invent, Math. , vol.104 , pp. 201-220
    • Voiculescu, D.1
  • 31
    • 0003385937 scopus 로고
    • Free probability theory: Random matrices and von Neumann algebras
    • Chatterji, S. D. (ed.), August 3-11, Zuerich, Switzerland, Basel: Birkhaeuser
    • Voiculescu, D.: Free probability theory: Random matrices and von Neumann algebras. Chatterji, S. D. (ed.), Proceedings of the International Congress of Mathematicians, ICM '94, August 3-11, 1994, Zuerich, Switzerland, Vol. I. Basel: Birkhaeuser, 1995, pp. 227-241
    • (1994) Proceedings of the International Congress of Mathematicians, ICM '94 , vol.1 , pp. 227-241
    • Voiculescu, D.1
  • 32
    • 0001089654 scopus 로고
    • Operations on certain non-commutative operator-valued random variables
    • Voiculesucu, D.: Operations on certain non-commutative operator-valued random variables. Asterisque 232 (1995), 243-275
    • (1995) Asterisque , vol.232 , pp. 243-275
    • Voiculesucu, D.1
  • 33
    • 0003341427 scopus 로고
    • Free random variables
    • Providence: American Mathematical Society
    • Voiculescu, D.V, Dykema, K.J., Nica, A.: Free random variables. CRM Monograph Series 1. Providence: American Mathematical Society, 1992
    • (1992) CRM Monograph Series , vol.1
    • Voiculescu, D.V.1    Dykema, K.J.2    Nica, A.3


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