Displaying similar documents to “Invertibility of operators in spaces of real interpolation.”

Interpolation of the measure of non-compactness between quasi-Banach spaces.

Pedro Fernández Martínez (2006)

Revista Matemática Complutense

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We study the behavior of the ball measure of non-compactness under several interpolation methods. First we deal with methods that interpolate couples of spaces, and then we proceed to extend the results to methods that interpolate finite families of spaces. We will need an approximation hypothesis on the target family of spaces.

Uniform minimality, unconditionality and interpolation in backward shift invariant subspaces

Eric Amar, Andreas Hartmann (2010)

Annales de l’institut Fourier

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We discuss relations between uniform minimality, unconditionality and interpolation for families of reproducing kernels in backward shift invariant subspaces. This class of spaces contains as prominent examples the Paley-Wiener spaces for which it is known that uniform minimality does in general neither imply interpolation nor unconditionality. Hence, contrarily to the situation of standard Hardy spaces (and of other scales of spaces), changing the size of the space seems necessary to...