The noncommutative Hilbert transform approach to free entropy
Voiculescu, Dan
Banach Center Publications, Tome 43 (1998), p. 421-427 / Harvested from The Polish Digital Mathematics Library
Publié le : 1998-01-01
EUDML-ID : urn:eudml:doc:208863
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     author = {Voiculescu, Dan},
     title = {The noncommutative Hilbert transform approach to free entropy},
     journal = {Banach Center Publications},
     volume = {43},
     year = {1998},
     pages = {421-427},
     zbl = {0931.46042},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-bcpv43i1p421bwm}
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Voiculescu, Dan. The noncommutative Hilbert transform approach to free entropy. Banach Center Publications, Tome 43 (1998) pp. 421-427. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-bcpv43i1p421bwm/

[000] [1] K. Dykema, Two applications of free entropy, preprint. | Zbl 0927.46035

[001] [2] L. Ge, Applications of free entropy to finite von Neumann algebras, I, American J. Math. 119 (1997), 467-485. | Zbl 0871.46031

[002] [3] L. Ge, Applications of free entropy to finite von Neumann algebras, II, Ann. of Math. 147 (1998), 143-157. | Zbl 0924.46050

[003] [4] S. J. Szarek and D. Voiculescu, Volumes of restricted Minkowski sums and the free analogue of the entropy power inequality, Commun. Math. Phys. 178 (1996) 563-570. | Zbl 0863.46042

[004] [5] D. Voiculescu, Limit laws for random matrices and free products, Invent. Math. 104 (1991) 201-220. | Zbl 0736.60007

[005] [6] D. Voiculescu, A strengthened asymptotic freeness result for random matrices with applications to free entropy, Internat. Math. Res. Notices 1998, no. 1, 41-63. | Zbl 0895.60004

[006] [7] D. Voiculescu, The analogues of entropy and of Fisher's information measure in free probability theory, Commun. Math. Phys. 155 (1993), 71-92. | Zbl 0781.60006

[007] [8] D. Voiculescu, The analogues of entropy and of Fisher's information measure in free probability theory, II, Invent. Math. 118 (1994), 411-440. | Zbl 0820.60001

[008] [9] D. Voiculescu, The analogues of entropy and of Fisher's information measure in free probability theory, III: the absence of Cartan subalgebras, Geometric and Functional Analysis, vol. 6, no. 1 (1996), 172-199. | Zbl 0856.60012

[009] [10] D. Voiculescu, The analogues of entropy and of Fisher's information measure in free probability theory, IV: maximum entropy and freeness, in: Free Probability, D. Voiculescu (ed.), Fields Institute Communications, Vol. 12, American Mathematical Society, Providence (1996). | Zbl 0856.60012

[010] [11] D. Voiculescu, The analogues of entropy and of Fisher's information measure in free probability theory, V: noncommutative Hilbert transforms, Invent. Math. 132 (1998), 189-227. | Zbl 0930.46053

[011] [12] D. Voiculescu, K. Dykema and A. Nica, Free Random Variables, CRM Monograph Series, Vol. I, American Mathematical Society (1992). | Zbl 0795.46049