Interpolation between sum and intersection of Banach spaces

Keywords

Mathematics, Interpolation space, Banach space, Interpolation (computer graphics), Intersection (aeronautics)

References

• Intermediate spaces and interpolation, the complex methodA. Calderón — 1964
• A function parameter in connection with interpolation of Banach spacesJan Gustavsson — 1978
• On some Banach lattices. IVG. Ya. Lozanovskii — 1973
• Interpolation spaces and interpolation methodsN. Aronszajn, Emilio Gagliardo — 1965
• ON ESTIMATES OF INTERPOLATION ORBITSV I Ovčinnikov — 1982
• Interpolation of linear operatorsElias M. Stein — 1956
• On some Banach latticesG. Ya. Lozanovskii — 1969
• Interpolation theorems resulting from an inequality of GrothendieckВ. И. Овчинников — 1976
• Indices and interpolationLech Maligranda — 1985
• Classical Banach spacesJ. Lindenstrauss, L. Tzafriri — 1973
• The K-functional for symmetric spacesL. Maligranda — 1984

Cited by

• Identification of some real interpolation spacesMarkus Haase — 2006
• Indices defined by interpolation scales and applicationsLuz M. Fernández‐Cabrera, Fernando Cobos, Francisco L. Hernández — 2004
• Some remarks on the reflexivity of the real interpolation spacesAlexi Quevedo — 1991
• On interpolation between L1 + L∞ and L1 ∩ L∞Lech Maligranda, В. И. Овчинников — 1992
• Interpolation of weakly compact operatorsLech Maligranda, Alexi Quevedo — 1990
• Measure of weak noncompactness under complex interpolationAndrzej Kryczka, Stanisław Prus — 2001
• Interpolation of Banach algebras and open setsSten Kaijser — 2001
• Notes on non-interpolation spacesLech Maligranda, Mieczysław Mastyło — 1989
• Interpolation of linear operatorsYu. A. Brudnyi, S. G. Kreĭn, Э. М. Семенов — 2002
• Weakly compact operators and interpolationLech Maligranda — 1992
• Real interpolation between row and column spacesGilles Pisier — 2011
• Quantitative approach to weak noncompactness in the polygon interpolation methodAndrzej Kryczka — 2004
• On a Theorem by Lions and Peetre about Interpolation between a Banach Space and its DualFernando Cobos, Tomas Schonbek — 1998
• Unbounded Linear Operators on Interpolation SpacesKerstin Günther — 2008
• On the general K-interpolation method for the sum and the intersectionIrshaad Ahmed, Muhammad Awais — 2016
• Closed injective ideals of multilinear operators, related measures and interpolationAntonio Manzano, Pilar Rueda, Enrique A. Sánchez‐Pérez — 2020
• Intersections, sums, and the Jordan-H\"older property for exact categoriesThomas Brüstle, Souheila Hassoun, Aran Tattar — 2020
• A discrete framework for the interpolation of Banach spacesNick Lindemulder, Emiel Lorist — 2021
• Interpolation with a function parameter from the category point of viewThomas Lamby, Samuel Nicolay — 2023
• Using the Baire category theorem to explore Lions problem for quasi-Banach spacesAsuman Güven Aksoy, J. M. Almira — 2024

Related papers

• Theory of linear operationsStefan Banach — 1987
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• Compactness in Vector-valued Banach Function SpacesJan van Neerven — 2007
• Selfadjoint operators on real or complex Banach spacesFrancisco Javier García‐Pacheco — 2020