Displaying similar documents to “Interpolation of locally Hölder operators”

Fréchet interpolation spaces and Grothendieck operator ideals.

Jesús M. Fernández Castillo (1991)

Collectanea Mathematica

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Starting with a continuous injection I: X → Y between Banach spaces, we are interested in the Fréchet (non Banach) space obtained as the reduced projective limit of the real interpolation spaces. We study relationships among the pertenence of I to an operator ideal and the pertenence of the given interpolation space to the Grothendieck class generated by that ideal.

Interpolation of real method spaces via some ideals of operators

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 ( X , L ( w ) ) . 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...

Real interpolation for families of Banach spaces

Maria Carro (1994)

Studia Mathematica

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We develop a new method of real interpolation for infinite families of Banach spaces that covers the methods of Lions-Peetre, Sparr for N spaces, Fernández for 2 N spaces and the recent method of Cobos-Peetre.

Interpolation of operators when the extreme spaces are L

Jesús Bastero, Francisco Ruiz (1993)

Studia Mathematica

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Under some assumptions on the pair ( A 0 , B 0 ) , we study equivalence between interpolation properties of linear operators and monotonicity conditions for a pair (Y,Z) of rearrangement invariant quasi-Banach spaces when the extreme spaces of the interpolation are L . Weak and restricted weak intermediate spaces fall within our context. Applications to classical Lorentz and Lorentz-Orlicz spaces are given.