On an estimate of the eigenvalues for an infinite-dimensional matrix and its application to the problem of the completeness of an eigenvector system of a completely continuous operator

DOI10.1016/S0024-3795(97)00247-4zbMath0902.15021MaRDI QIDQ1386496

Vladimir Strauss

Publication date: 13 December 1998

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

zbMATH Keywords

completenesscompact operatorpositive operatorinfinite matricessesquilinear formdistribution of eigenvaluesGram operatoreigenvector system

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Linear operators defined by compactness properties (47B07) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Riesz operators; eigenvalue distributions; approximation numbers, (s)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators (47B06) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37)

Cites Work

• Über eine Klasse \(J\)-selbstadjungierter Operatoren
• Interpolation zwischen den Klassen 𝔖_p von Operatoren in Hilberträumen
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