Commutants mod normed ideals

DV Voiculescu - Advances in Noncommutative Geometry: On the …, 2019 - Springer
Abstract To Alain Connes' non-commutative geometry the normed ideals of compact
operators are purveyors of infinitesimals. A numerical invariant, the modulus of quasicentral …

[PDF][PDF] Diagonalization modulo norm ideals: spectral method and modulus of continuity (Spectral and Scattering Theory and Related Topics)

ST Kuroda - 数理解析研究所講究録別冊, 2010 - repository.kulib.kyoto-u.ac.jp
This is a half expository paper on whether a commutative N-tuple A of selfadjoint operators
can be simultaneously diagonalized by perturbations belonging to a certain norm ideal …

A remark about supramenability and the Macaev norm

DV Voiculescu - arXiv preprint arXiv:1605.02135, 2016 - ems.press
We show that a finitely generated group G which satisfies a certain condition with respect to
the Macaev norm is supramenable. The condition is equivalent to the existence of …

Gromov hyperbolic groups and the Macaev norm

R Okayasu - Pacific journal of mathematics, 2006 - msp.org
Let Γ be a Gromov hyperbolic group with a finite set A of generators. We prove that h top (Σ
(∞))≤ k∞−(λ A)≤ gr (Γ, A), where gr (Γ, A) is the growth entropy, h top (Σ (∞)) is the …

Perturbation theoretic entropy of the boundary actions of free groups

R Okayasu - Proceedings of the American Mathematical Society, 2006 - JSTOR
Perturbation Theoretic Entropy of the Boundary Actions of Free Groups Page 1 PROCEEDINGS
OF THE AMERICAN MATHEMATICAL SOCIETY Volume 134, Number 6, Pages 1771-1776 S …

[PDF][PDF] Diagonalization modulo norm ideals

ST Kuroda - 2010 - kurims.kyoto-u.ac.jp
Diagonalization modulo norm ideals : spectral method and modulus of continuity (Spectral and
Scattering Theory and Related Topic Page 1 RIMS Kôkyûroku Bessatsu B16 (2010), 101126 …

[PDF][PDF] Diagonalization modulo norm ideals: spectral method and

ST KURODA - J. Operator Theory, 1981 - Citeseer
This is a half expository paper on whether a commutative N-tuple A of selfadjoint operators
can be simultaneously diagonalized by perturbations belonging to a certain norm ideal …