The noncommutative Hilbert transform approach to free entropy
Banach Center Publications (1998)
- Volume: 43, Issue: 1, page 421-427
- ISSN: 0137-6934
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topVoiculescu, Dan. "The noncommutative Hilbert transform approach to free entropy." Banach Center Publications 43.1 (1998): 421-427. <http://eudml.org/doc/208863>.
@article{Voiculescu1998,
author = {Voiculescu, Dan},
journal = {Banach Center Publications},
keywords = {noncommutative Hilbert transform; free entropy; free independence; noncommutative random variables; tracial -probability space; matricial microstates; matrix-approximants; type von Neumann algebras; microstates approach; asymptotic freeness; random matrices},
language = {eng},
number = {1},
pages = {421-427},
title = {The noncommutative Hilbert transform approach to free entropy},
url = {http://eudml.org/doc/208863},
volume = {43},
year = {1998},
}
TY - JOUR
AU - Voiculescu, Dan
TI - The noncommutative Hilbert transform approach to free entropy
JO - Banach Center Publications
PY - 1998
VL - 43
IS - 1
SP - 421
EP - 427
LA - eng
KW - noncommutative Hilbert transform; free entropy; free independence; noncommutative random variables; tracial -probability space; matricial microstates; matrix-approximants; type von Neumann algebras; microstates approach; asymptotic freeness; random matrices
UR - http://eudml.org/doc/208863
ER -
References
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- [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. Zbl0856.60012
- [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). Zbl0856.60012
- [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. Zbl0930.46053
- [12] D. Voiculescu, K. Dykema and A. Nica, Free Random Variables, CRM Monograph Series, Vol. I, American Mathematical Society (1992). Zbl0795.46049
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