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When weak and local measure convergence implies norm convergence
Bikchentaev A., Sukochev F.
© 2019 Elsevier Inc. Let M be a von Neumann algebra of operators on a Hilbert space H and τ be a
Функции от возмущённых пар некоммутирующих сжатий
Александров А.Б., Пеллер В.В.
We consider functions $f(T,R)$ of pairs of noncommuting contractions on Hilbert space and study
Renormalization on noncommutative torus
D'Ascanio, D., Pisani, P., Vassilevich, D. V.
which is a wild behavior of the two-point amplitude as a function of the noncommutativity matrix θ.
On Independence of Events in Noncommutative Probability Theory
Bikchentaev A.M., Ivanshin P.N.
On Independence of Events in Noncommutative Probability Theory
The continuity of multiplication for two topologies associated with a semifinite trace on von neumann algebra
Bikchentaev A.
, and ∥ · ∥ denote the C*-norm on M. The set of all τ-measurable operators M̃ with sum and product defined
On the index of noncommutative elliptic operators over $C^*$-algebras
Savin A.Y., Sternin B.Y.
On the index of noncommutative elliptic operators over $C^*$-algebras
Cup product on A∞-cohomology and deformations
Sharapov, Alexey A., Skvortsov, Evgeny D.
structure on A∞-cohomology, which we define in terms of the brace operations. As an example, we construct a
Trace Expansions and Equivariant Traces on an Algebra of Fourier Integral Operators on Rn
Savin A., Schrohe E.
for these operators in the spirit of Grubb and Seeley. Moreover, we can define a noncommutative residue generalizing
On convergence of functions of normal operators in strong operator topology
Tikhonov O.
corollary, Kadison's theorem on strong continuity of operator functions is refined. © 2007 Springer Science
On the $\tau$-compactness of products of $\tau$-measurable operators adjoint to semi-finite von Neumann algebras
Bikchentaev Airat Midkhatovich
Let M be the von Neumann algebra of operators in a Hilbert space H and $\tau$ be an exact normal

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