Abstract limit J -spaces

DOI10.1112/JLMS/JDQ043zbMath1207.46021OpenAlexW2090229510MaRDI QIDQ3160715

Fernando Cobos, Luz M. Fernández-Cabrera, Mieczyslaw Mastylo

Publication date: 8 October 2010

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

Full work available at URL: https://doi.org/10.1112/jlms/jdq043

zbMATH Keywords

real interpolation spacesBanach sequence lattices\(K\)-spaces\(J\)-spacesequivalence of \(J\)-method and \(K\)-methodinterpolation of compactness

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Interpolation between normed linear spaces (46B70) Compactness in Banach (or normed) spaces (46B50)

Related Items (12)

Description of K‐spaces by means of J‐spaces and the reverse problem in the limiting real interpolation ⋮ Limiting \(J\)-spaces for general couples ⋮ Equivalence of \(K\)- and \(J\)-methods for limiting real interpolation spaces ⋮ Limiting interpolation spaces via extrapolation ⋮ New limiting real interpolation methods and their connection with the methods associated to the unit square ⋮ On a paper of Edmunds and Opic on limiting interpolation of compact operators between spaces ⋮ Some reiteration formulae for limiting real methods ⋮ The equivalence theorem for logarithmic interpolation spaces in the quasi-Banach case ⋮ On compactness theorems for logarithmic interpolation methods ⋮ Duality for logarithmic interpolation spaces and applications to Besov spaces ⋮ A LIMITING CASE OF ULTRASYMMETRIC SPACES ⋮ Description of logarithmic interpolation spaces by means of the \(J\)-functional and applications

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