On interpolation properties of compact bilinear operators

DOI10.1002/MANA.201600203zbMath1382.46014OpenAlexW2569181527MaRDI QIDQ5359076

Antón Martínez, Luz M. Fernández-Cabrera

Publication date: 22 September 2017

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.201600203

zbMATH Keywords

real interpolationcompact bilinear operatorsconvolution of sequencesinterpolation with a parameter function

Mathematics Subject Classification ID

Linear operators defined by compactness properties (47B07) (Spaces of) multilinear mappings, polynomials (46G25) Interpolation between normed linear spaces (46B70) Compactness in Banach (or normed) spaces (46B50)

Related Items (13)

Interpolation of the measure of non-compactness of bilinear operators among quasi-Banach spaces ⋮ Interpolation estimates of the measure of noncompactness for multilinear mappings ⋮ Weakly compact bilinear operators among real interpolation spaces ⋮ On interpolation of weakly compact bilinear operators ⋮ On compactness results of Lions-Peetre type for bilinear operators ⋮ Closed surjective ideals of multilinear operators and interpolation ⋮ A compactness result of Janson type for bilinear operators ⋮ Real interpolation of compact bilinear operators ⋮ Interpolation of the measure of noncompactness of bilinear operators ⋮ 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 ⋮ Compactness interpolation results for bilinear operators of convolution type and for operators of product type ⋮ Interpolation of compact bilinear operators

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