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Spectra of subnormal Hardy type operators

K. Rudol (1997)

Annales Polonici Mathematici

The essential spectrum of bundle shifts over Parreau-Widom domains is studied. Such shifts are models for subnormal operators of special (Hardy) type considered earlier in [AD], [R1] and [R2]. By relating a subnormal operator to the fiber of the maximal ideal space, an application to cluster values of bounded analytic functions is obtained.

Standard ideals in convolution Sobolev algebras on the half-line

José E. Galé, Antoni Wawrzyńczyk (2011)

Colloquium Mathematicae

We study the relation between standard ideals of the convolution Sobolev algebra ( n ) ( t ) and the convolution Beurling algebra L¹((1+t)ⁿ) on the half-line (0,∞). In particular it is proved that all closed ideals in ( n ) ( t ) with compact and countable hull are standard.

Synthèse et algèbre de multiplicateurs de Re A ( D )

Jacqueline Détraz (1973)

Annales de l'institut Fourier

Soit Re A , l’espace de Banach des fonctions continues sur T qui sont parties réelles de fonctions de l’algèbre du disque A ( D ) . On étudie les ensembles de T de synthèse pour Re A et l’algèbre des multiplicateurs de Re A . On en déduit des théorèmes d’approximation dans A ( D ) par des produits de Blaschke.

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