Determinants and a unified approach to estimating resolvents of operators in operator ideals of Riesz type \(\ell _ p\)

DOI10.1007/BF01202904zbMath0576.47026MaRDI QIDQ1065340

Friedwart Reuter

Publication date: 1985

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

zbMATH Keywords

operator idealweak operator topologycharacteristic determinantscompleteness of principal vectorsestimates of Fredholm minorsestimating resolvents of operatorsrepresentation of the resolvent of a powerRiesz operator with absolutely p-summable eigenvaluesRiesz type \(\ell _ p\)

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Spectrum, resolvent (47A10) Algebras of operators on Banach spaces and other topological linear spaces (47L10) (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces (47A70)

Related Items (1)

Perturbation determinants in Banach spaces - with an application to eigenvalue estimates for perturbed operators

Cites Work

• Weyl numbers and eigenvalues of operators in Banach spaces
• Resolventenwachstum und Vollständigkeit meromorpher Operatoren in normierten Räumen
• Inequalities between eigenvalues, entropy numbers, and related quantities of compact operators in Banach spaces
• A trace theorem and a linearization method for operator polynomials
• Fredholm theory for operators in an operator ideal with a trace. I
• Notes on infinite determinants of Hilbert space operators
• Eigenvalues of \(p\)-summing and \(\ell_p\)-type operators in Banach spaces
• Fredholm theory for operators in an operator ideal with a trace. II
• Extension of Stokes series for flow in a circular boundary
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