Interpolation between sum and intersection of Banach spaces

DOI10.1016/0021-9045(86)90045-6zbMath0636.46063OpenAlexW2013693297MaRDI QIDQ1098072

Lech Maligranda

Publication date: 1986

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: http://urn.kb.se/resolve?urn=urn:nbn:se:ltu:diva-11081

zbMATH Keywords

symmetric spacesBanach coupleintermediate Banach spacesinterpolation between sum and intersection of Banach spaces

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) Abstract interpolation of topological vector spaces (46M35)

Related Items (12)

Identification of some real interpolation spaces ⋮ On the general \(K\)-interpolation method for the sum and the intersection ⋮ Notes on non-interpolation spaces ⋮ A discrete framework for the interpolation of Banach spaces ⋮ Interpolation with a function parameter from the category point of view ⋮ Interpolation of weakly compact operators ⋮ Some remarks on the reflexivity of the real interpolation spaces ⋮ On interpolation between \(L_ 1+L_ \infty\) and \(L_ 1\cap{}L_ \infty\) ⋮ Weakly compact operators and interpolation ⋮ Interpolation of Banach algebras and open sets ⋮ Intersections, sums, and the Jordan-Hölder property for exact categories ⋮ Quantitative approach to weak noncompactness in the polygon interpolation method

Cites Work

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• Weighted inequalities for monotone functions
• Interpolation spaces and interpolation methods
• On some Banach lattices. IV
• A function parameter in connection with interpolation of Banach spaces.
• Intermediate spaces and interpolation, the complex method

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