Malnormal matrices

DOI10.1090/proc/15821zbMath1506.15023arXiv2009.11139OpenAlexW4200246730MaRDI QIDQ5081528

Garrett Mulcahy, Thomas Sinclair

Publication date: 15 June 2022

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.11139

zbMATH Keywords

Hilbert-Schmidt normcommutator mapquantum expanders

Mathematics Subject Classification ID

Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Commutators, derivations, elementary operators, etc. (47B47) Transformers, preservers (linear operators on spaces of linear operators) (47B49) Quantum state spaces, operational and probabilistic concepts (81P16)

Uses Software

• GitHub

Cites Work

• Combinatorial group theory.
• The largest real eigenvalue in the real Ginibre ensemble and its relation to the Zakharov-Shabat system
• Strongly 1-bounded von Neumann algebras
• Quantum expanders and geometry of operator spaces
• Minimizing a Quadratic Over a Sphere
• 1-Bounded entropy and regularity problems in von Neumann algebras
• Model theory of operator algebras III: elementary equivalence and II₁factors
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