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Finite-dimensional decompositions of Banach spaces with (p,q)-estimates [Book]

Stanisław Prus (1987)

FK-espaces contenant c0 en analyse non-archimédienne.

R. Ameziane Hassani, M. Babahmed, J. El Youssefi (2003)

Extracta Mathematicae

Fredholm multipliers of semisimple commutative Banach algebras.

Pietro Aiena (1991)

Extracta Mathematicae

In some recent papers ([1],[2],[3],[4]) we have investigated some general spectral properties of a multiplier defined on a commutative semi-simple Banach algebra. In this paper we expose some aspects concerning the Fredholm theory of multipliers.

From finite- to infinite-dimensional phenomena in geometric functional analysis on local and asymptotic levels.

Tomczak-Jaegermann, Nicole (1998)

Documenta Mathematica

Functional models and asymptotically orthonormal sequences

Isabelle Chalendar, Emmanuel Fricain, Dan Timotin (2003)

Annales de l’institut Fourier

Suppose $H^{2}$ is the Hardy space of the unit disc in the complex plane, while $Θ$ is an inner function. We give conditions for a sequence of normalized reproducing kernels in the model space $K_{Θ} = H^{2} ⊖ Θ H^{2}$ to be asymptotically close to an orthonormal sequence. The completeness problem is also investigated.