On interpolation between \(L_ 1+L_ \infty\) and \(L_ 1\cap{}L_ \infty\)

DOI10.1016/0022-1236(92)90111-UzbMath0777.46040MaRDI QIDQ1193913

Lech Maligranda, Vladimir I. Ovchinnikov

Publication date: 27 September 1992

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

zbMATH Keywords

interpolation\(K\)-orbitCalderon couple

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) Abstract interpolation of topological vector spaces (46M35)

Related Items (4)

Weak-type interpolation and orbits ⋮ Arazy-Cwikel and Calderón-Mityagin type properties of the couples \((\ell^p, \ell^q)\), \(0 \leq p<q \leq \infty\) ⋮ K-monotone weighted couples of Banach lattices ⋮ Interpolation between \(L_0(\mathcal{M},\tau)\) and \(L_\infty (\mathcal{M},\tau )\)

Cites Work

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• Interpolation between sum and intersection of Banach spaces
• Interpolation of linear operators
• Monotonicity properties of interpolation spaces
• On some Banach lattices. IV
• ON ESTIMATES OF INTERPOLATION ORBITS
• Interpolation of weighted $L_{p}$-spaces
• Weak*-sequential closure and the characteristic of subspaces of conjugate Banach spaces
• Intermediate spaces and interpolation, the complex method
• Fréchet spaces with a unique unconditional basis

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