scientific article; zbMATH DE number 1064704

Publication date: 19 February 1998

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

selfadjoint matrices AF-algebra old problem in linear algebra and operator theory property (FN)techniques in operator algebras

Mathematics Subject Classification ID

(K)-theory and operator algebras (including cyclic theory) (46L80) Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Commutativity of matrices (15A27) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Commutators, derivations, elementary operators, etc. (47B47) General theory of (C^*)-algebras (46L05) Linear operator approximation theory (47A58) Quasitriangular and nonquasitriangular, quasidiagonal and nonquasidiagonal linear operators (47A66)

Related Items (43)

Distance to normal elements in 𝐶*-algebras of real rank zero ⋮ Typicality of thermal equilibrium and thermalization in isolated macroscopic quantum systems ⋮ When almost multiplicative morphisms are close to homomorphisms ⋮ Stability of group relations under small Hilbert-Schmidt perturbations ⋮ Minimizer Extraction in Polynomial Optimization Is Robust ⋮ Stability of rotation relations in -algebras ⋮ $C^*$-algebras with weak (FN) ⋮ Almost commuting unitary matrices related to time reversal ⋮ Almost commuting orthogonal matrices ⋮ Statistical ensembles for phase coexistence states specified by noncommutative additive observables ⋮ Stability of rotation relations of three unitaries with the flip action in $C^*$-algebras ⋮ Randomized Joint Diagonalization of Symmetric Matrices ⋮ Almost commuting matrices, cohomology, and dimension ⋮ Approximate symmetries of Hamiltonians ⋮ Stability of rotation relation of two unitaries with $\mathbb{Z}_3, \mathbb{Z}_4$ and $\mathbb{Z}_6$-actions in $C^*$-algebras ⋮ $C^\ast$-stability of discrete groups ⋮ Distance between unitary orbits of self-adjoint elements in $C^*$-algebras of tracial rank one ⋮ Polynomials of almost normal arguments in $C^*$-algebras ⋮ On renormalization and the local gap method for proving frustration-free local spin chains are gapped ⋮ Matrix commutators: their asymptotic metric properties and relation to approximate joint diagonalization ⋮ Morphisms of extensions of $C^*$-algebras: Pushing forward the Busby invariant ⋮ On the relation between an operator and its self-commutator ⋮ Stability of rotation relation of two unitaries with the flip action in $C^\ast $-algebras ⋮ Some results on tracial stability and graph products ⋮ Tracial stability for $C^*$-algebras ⋮ Approximate homotopy of homomorphisms from 𝐶(𝑋) into a simple 𝐶*-algebra ⋮ Complex symmetric generators of $C^*$-algebras ⋮ Convex hulls of unitary orbits of normal elements in $C^\ast$-algebras with tracial rank zero ⋮ Approximately order zero maps between $\mathrm{C}^\ast $-algebras ⋮ Stability of certain relations of three unitaries in C∗-algebras ⋮ $K$-theory and pseudospectra for topological insulators ⋮ The Toeplitz algebra has nuclear dimension one ⋮ Pictures of $KK$-theory for real $C^*$-algebras and almost commuting matrices ⋮ Variations of projectivity for $C^\ast$-algebras ⋮ Causal fermion systems and the ETH approach to quantum theory ⋮ Almost commuting self-adjoint matrices: The real and self-dual cases ⋮ On the property $IR$ of Friis and Rørdam ⋮ Almost commuting unitaries with spectral gap are near commuting unitaries ⋮ Almost commuting matrices with respect to the rank metric ⋮ The Cuntz-Toeplitz algebras have nuclear dimension one ⋮ Classification of homomorphisms and dynamical systems ⋮ Almost commuting permutations are near commuting permutations ⋮ Distance between unitary orbits of normal elements in simple $C^\ast$-algebras of real rank zero

This page was built for publication: