Spectral theory and interpolation of operators

DOI10.1016/0022-1236(80)90099-3zbMath0429.47002OpenAlexW2076225546MaRDI QIDQ1137769

Misha Zafran

Publication date: 1980

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(80)90099-3

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Abstract interpolation of topological vector spaces (46M35)

Related Items (23)

An existence result for a model of complete damage in elastic materials with reversible evolution ⋮ Spectrum of interpolated operators ⋮ Commutator and other second order estimates in real interpolation theory ⋮ Interpolation of linear operators ⋮ Spectral theory and complex interpolation ⋮ Spectral theory and interpolation of operators ⋮ Isomorphisms on interpolation spaces generated by the method of means ⋮ A discrete framework for the interpolation of Banach spaces ⋮ Stability of the inverses of interpolated operators with application to the Stokes system ⋮ Stability of Fredholm properties on interpolation Banach spaces ⋮ Stability in Interpolation of Families of Banach Spaces ⋮ Function Theoretic Results for Complex Interpolation Families of Banach Spaces ⋮ On lifting of operators to Hilbert spaces induced by positive selfadjoint operators ⋮ Extrapolation theory: new results and applications ⋮ Interpolation of Banach algebras and open sets ⋮ Interpolation in Orlicz spaces involving weights ⋮ Estimates for the spectrum on logarithmic interpolation spaces ⋮ Stability of Fredholm properties on interpolation scales ⋮ Stein interpolation for the real interpolation method ⋮ A unified theory of commutator estimates for a class of interpolation methods ⋮ On a model for phase separation in binary alloys driven by mechanical effects ⋮ ON THE STABILITY OF THE DIFFERENTIAL PROCESS GENERATED BY COMPLEX INTERPOLATION ⋮ The imaginary part of the Cesàro operator in \(l^ p\) spaces

Cites Work

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• Spectral theory and interpolation of operators
• Interpolation of n pairs and cou terexamples employing indices
• On a class of interpolation spaces
• Spaces \(\Lambda_\alpha\)(X) and interpolation
• The Hilbert Transform on Rearrangement-Invariant Spaces
• Spaces Between a Pair of Reflexive Lebesgue Spaces
• Weak*-sequential closure and the characteristic of subspaces of conjugate Banach spaces
• Indices of Function Spaces and their Relationship to Interpolation
• Intermediate spaces and interpolation, the complex method

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