Interpolation theory and measures of non‐compactness
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Publication:3954376
DOI10.1002/mana.19811040110zbMath0492.46062OpenAlexW2063602344MaRDI QIDQ3954376
M. F. Teixeira, David E. Edmunds
Publication date: 1981
Published in: Mathematische Nachrichten (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/mana.19811040110
real interpolationradius of the essential spectrummeasure of non-compactnessapproximation conditionpreservation of compactness under interpolation
Abstract interpolation of topological vector spaces (46M35) Nonlinear operators and their properties (47H99)
Related Items (18)
Interpolation of ideal measures by abstract \(K\) and \(J\) spaces ⋮ Interpolation of linear operators ⋮ Interpolation of the measure of non-compactness of bilinear operators among quasi-Banach spaces ⋮ Interpolation estimates of the measure of noncompactness for multilinear mappings ⋮ Measures of noncompactness of interpolated polynomials ⋮ Measure of non-compactness and limiting interpolation with slowly varying functions ⋮ Interpolation of \(s\)-numbers and entropy numbers of operators ⋮ A compactness result of Janson type for bilinear operators ⋮ On duality between K- and J-spaces ⋮ On interpolation of strictly (co-)singular linear operators ⋮ Eigenvalues and entropy moduli of operators in interpolation spaces ⋮ Remarks on Interpolation Properties of the Measure of Weak Non ‐‐ Compactness and Ideal Variations ⋮ Real interpolation of compact bilinear operators ⋮ Interpolation of the measure of noncompactness of bilinear operators ⋮ Estimates for the spectrum on logarithmic interpolation spaces ⋮ On the interpolation of the measure of non-compactness of bilinear operators with weak assumptions on the boundedness of the operator ⋮ A general one-sided compactness result for interpolation of bilinear operators ⋮ Measure of weak noncompactness and real interpolation of operators
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