scientific article; zbMATH DE number 6902755

zbMath1392.15017MaRDI QIDQ4576494

Michael I. Gil'

Publication date: 12 July 2018

Full work available at URL: http://operator.pmf.ni.ac.rs/www/pmf/publikacije/faac/2018/FAAC-10-2/faac-10-2-5.pdf

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zbMATH Keywords

perturbationeigenvaluesinertiaHilbert-Schmidt operator

Mathematics Subject Classification ID

Matrix equations and identities (15A24) Eigenvalues, singular values, and eigenvectors (15A18) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Riesz operators; eigenvalue distributions; approximation numbers, (s)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators (47B06) Multilinear algebra, tensor calculus (15A69)

Related Items (3)

Conservation of the number of zeros of entire functions inside and outside a circle under perturbations ⋮ Conservation of the numbers of characteristic values of polynomial and entire matrix pencils inside and outside a circle under perturbations ⋮ An estimate for the number of eigenvalues of a Hilbert-Schmidt operator in a half-plane

Cites Work

• Unnamed Item
• Bounds for the spectrum of a two parameter matrix eigenvalue problem
• Some theorems on the inertia of general matrices
• Inertia theory
• Inertia theorem for general matrix equations
• An inertia theorem for Lyapunov's equation and the dimension of a controllability space
• Operator functions and localization of spectra
• A generalization of the inertia theorem for quadratic matrix polynomials
• Stability and inertia theorems for generalized Lyapunov equations
• Stability and inertia
• Inertia theorems for matrices: the semidefinite case
• On the Ostrowski-Schneider inertia theorem
• Resolvents of operators on tensor products of Euclidean spaces
• Inertia theorems based on operator Lyapunov equations
• Inertia theorems for operator Lyapunov inequalities

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