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Uniform minimality, unconditionality and interpolation in backward shift invariant subspaces

Eric Amar, Andreas Hartmann (2010)

Annales de l’institut Fourier

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 deduce unconditionality...

Universal interpolating sequences on some function spaces

Bahmann Yousefi, B. Tabatabaie (2005)

Czechoslovak Mathematical Journal

Let H ( K ) be the Hilbert space with reproducing kernel K . This paper characterizes some sufficient conditions for a sequence to be a universal interpolating sequence for H ( K ) .

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