An estimate for the number of eigenvalues of a Hilbert-Schmidt operator in a half-plane

DOI10.7169/facm/1760OpenAlexW2987626610MaRDI QIDQ782766

Michael I. Gil'

Publication date: 29 July 2020

Published in: Functiones et Approximatio. Commentarii Mathematici (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.facm/1573268425

zbMATH Keywords

eigenvaluesperturbationsmatricesinertiaHilbert-Schmidt operators

Mathematics Subject Classification ID

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)

Cites Work

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• On the Ostrowski-Schneider inertia theorem
• Resolvents of operators on tensor products of Euclidean spaces
• Inertia theorems based on operator Lyapunov equations
• Operator Functions and Operator Equations
• Inertia theorems for operator Lyapunov inequalities

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