Spectrum of interpolated operators

DOI10.1090/S0002-9939-00-05862-7zbMath0967.46021MaRDI QIDQ4523205

Vladimír Müller, Ernst Albrecht

Publication date: 8 January 2001

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

spectrum of interpolated operatorsuniqueness of resolvent propertyuniqueness-of-resolvent condition of Ransford

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Interpolation between normed linear spaces (46B70)

Related Items (10)

Transmission problems and spectral theory for singular integral operators on Lipschitz domains ⋮ Isomorphisms on interpolation spaces generated by the method of means ⋮ Stability of the inverses of interpolated operators with application to the Stokes system ⋮ Stability of Fredholm properties on interpolation Banach spaces ⋮ Commutator estimates for interpolation scales with holomorphic structure ⋮ Lions--Schechter's methods of complex interpolation and some quantitative estimates ⋮ The spectra of closed interpolated operators ⋮ The Dirichlet problem with VMO data in upper-graph Lipschitz domains ⋮ Asymptotic analysis of solutions to parabolic systems ⋮ Stability of semi-Fredholm properties in complex interpolation spaces

Cites Work

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• The spectrum of an interpolated operator and analytic multivalued functions
• A generalization of Vesentini and Wermer's theorems
• Spectral theory and interpolation of operators
• Analytic set-valued functions and spectra
• A primer on spectral theory
• On complex interpolation and spectral continuity
• Intermediate spaces and interpolation, the complex method

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