Interpolation of subcouples and quotient couples

DOI10.1007/BF02559489zbMath0803.46080MaRDI QIDQ1320533

Svante Janson

Publication date: 2 January 1995

Published in: Arkiv för Matematik (Search for Journal in Brave)

zbMATH Keywords

\(K\)-subcouplesquotient couplesreinterpretation of the Adamyan-Arov- Krein theorem for Hankel operatorssubcouples of an interpolation couple that preserve the \(K\)-functional

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Abstract interpolation of topological vector spaces (46M35)

Related Items (16)

Subcouples of codimension one and interpolation of operators that almost agree ⋮ Noncommutative Hardy-Lorentz spaces associated with semifinite subdiagonal algebras ⋮ Complex interpolation of noncommutative Hardy spaces associated with semifinite von Neumann algebras ⋮ Nehari-type theorem for non-commutative Hardy spaces ⋮ Interpolation of intersections generated by a linear functional ⋮ The real interpolation method on couples of intersections ⋮ Some remarks on \(K\)-closedness for the couples of real Hardy spaces ⋮ Real interpolation of Hardy-type spaces. An announcement with some remarks ⋮ A semigroup approach to the convergence rate of a collisionless gas ⋮ Interpolation of \(s\)-numbers and entropy numbers of operators ⋮ Lions--Peetre's interpolation methods associated with quasi-power functions and some applications ⋮ Independent sums of \(H_n^1(\mathbb{T})\) and \(H_n^1(\delta)\) ⋮ Rademacher functions in symmetric spaces ⋮ Interpolation of Normed Abelian Groups and Non-Commutative Integration ⋮ The failure of the Hardy inequality and interpolation of intersections ⋮ Interpolation of intersections by the real method

Cites Work

• Interpolation between \(H^ p\) spaces and non-commutative generalizations. I
• Interpolation of linear operators on Sobolev spaces
• Minimal and maximal methods of interpolation
• Quasitriangular subalgebras of semifinite von Neumann algebras are closed
• Interpolation between \(H^ p\) spaces and non-commutative generalizations. II
• Some consequences of Pisier's approach to interpolation
• A simple proof of a theorem of Jean Bourgain
• On certain functionales arising in the theory of interpolation spaces
• Interpolation of Quasi-Normed Spaces.
• On Some Interpolation Problems for Analytic Functions
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