Zobrazeno 1 - 10
of 292
pro vyhledávání: '"Voiculescu, Dan"'
Autor:
GREAVU, ELENA-LAURA1 elena.matei@unitbv.ro, PEPELEA, ROXANA2 r_pepelea@unitbv.ro
Publikováno v:
Studia Universitatis Babes-Bolyai, Musica. Jun2019, Vol. 64 Issue 1, p107-123. 17p.
Autor:
Voiculescu, Dan-Virgil
We introduced the quasicentral modulus to study normed ideal perturbations of operators. It is a limit of condenser quasicentral moduli in view of a recently noticed analogy with capacity in nonlinear potential theory. We prove here some basic proper
Externí odkaz:
http://arxiv.org/abs/2109.07633
Autor:
Voiculescu, Dan-Virgil
We point out that the quasicentral modulus is a noncommutative analogue of a nonlinear rearrangement invariant Sobolev condenser capacity. In the case of the shifts by the generators of a finitely generated group, the quasicentral modulus coincides w
Externí odkaz:
http://arxiv.org/abs/2107.11924
Autor:
Voiculescu, Dan-Virgil
We define commutants mod normed ideals associated with compact smooth manifolds with boundary. The results about the K-theory of these operator algebras include an exact sequence for the connected sum of manifolds, derived from the Mayer-Vietoris seq
Externí odkaz:
http://arxiv.org/abs/2008.06990
Autor:
Voiculescu, Dan-Virgil
We prove a general ampliation homogeneity result for the quasicentral modulus of an n-tuple of operators with respect to the (p,1) Lorentz normed ideal. We use this to prove a formula involving Hausdorff measure for the quasicentral modulus of n-tupl
Externí odkaz:
http://arxiv.org/abs/2006.14456
Autor:
Voiculescu, Dan-Virgil
We extend to the case of a threshold ideal our result with J. Bourgain about the essential centre of the commutant mod a diagonalization ideal for a n-tuple of commuting Hermitian operators . We also compute the $K_0$-group of the commutant mod trace
Externí odkaz:
http://arxiv.org/abs/1911.07377
Autor:
Voiculescu, Dan-Virgil
For the free probability analogue of Euclidean space endowed with the Gaussian measure we apply the approach of Arnold to derive Euler equations for a Lie algebra of non-commutative vector fields which preserve a certain trace. We extend the equation
Externí odkaz:
http://arxiv.org/abs/1902.02442
Autor:
MARCU, ŞERBAN1 serbaan@yahoo.com
Publikováno v:
Studia Universitatis Babes-Bolyai, Musica. Dec2012, Vol. 57 Issue 2, p99-106. 8p.
Autor:
Temeş, Bianca Ţiplea1 filarmonicaclujbianca@yahoo.com
Publikováno v:
Studia Universitatis Babes-Bolyai, Musica. 2009, Vol. 54 Issue 2, p3-30. 28p. 1 Color Photograph, 14 Diagrams.
Autor:
Voiculescu, Dan-Virgil
We survey the operator algebras arising as commutants modulo normed ideals of finite sets of hermitian operators and connections to perturbations of operators and noncommutative geometry.
Comment: 25 pages, corrected a few typos
Comment: 25 pages, corrected a few typos
Externí odkaz:
http://arxiv.org/abs/1810.12497