On commutativity of interpolation with intersection
Maligranda, Lech
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Maligranda, Lech
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Anita Tabacco Vignati, Marco Vignati (1987)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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We complete a result of Hernandez on the complex interpolation for families of Banach lattices.
Anita Tabacco Vignati, Marco Vignati (1987)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti
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We complete a result of Hernandez on the complex interpolation for families of Banach lattices.
Mieczysław Mastyło (1988)
Studia Mathematica
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Mieczysław Mastyło, Mario Milman (1999)
Studia Mathematica
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Certain operator ideals are used to study interpolation of operators between spaces generated by the real method. Using orbital equivalence a new reiteration formula is proved for certain real interpolation spaces generated by ordered pairs of Banach lattices of the form . As an application we extend Ovchinnikov’s interpolation theorem from the context of classical Lions-Peetre spaces to a larger class of real interpolation spaces. A description of certain abstract J-method spaces is...
Andreas Defant, Mieczyslaw Mastylo, Carsten Michels (2003)
RACSAM
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For the complex interpolation method, Kouba proved an important interpolation formula for tensor products of Banach spaces. We give a partial extension of this formula in the injective case for the Gustavsson?Peetre method of interpolation within the setting of Banach function spaces.
Bento, A.J.G. (2000)
Journal of Inequalities and Applications [electronic only]
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Mieczysław Mastyło, Vladimir Ovchinnikov (1997)
Studia Mathematica
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We study those compatible couples of Banach spaces for which the complex method interpolation spaces are also described by the K-method of interpolation. As an application we present counter-examples to Cwikel's conjecture that all interpolation spaces of a Banach couple are described by the K-method whenever all complex interpolation spaces have this property.