Essential norms of weighted composition operators on the space $ℋ^{∞}$ of Dirichlet series

• Autorzy: Pascal Lefèvre
• Języki publikacji: EN

Abstrakty

EN

We estimate the essential norm of a weighted composition operator relative to the class of Dunford-Pettis operators or the class of weakly compact operators, on the space $ℋ^{∞}$ of Dirichlet series. As particular cases, we obtain the precise value of the generalized essential norm of a composition operator and of a multiplication operator.

Kategorie tematyczne

• 46E15: Banach spaces of continuous, differentiable or analytic functions
• 30B50: Dirichlet series and other series expansions, exponential series
• 47B10: Operators belonging to operator ideals (nuclear, p -summing, in the Schatten-von Neumann classes, etc.)
• 47B33: Composition operators

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2009
• Tom: 191
• Numer: 1
• Strony: 57-66

Daty

wydano

2009

Twórcy

autor

Pascal Lefèvre

• Faculté Jean Perrin, Université d'Artois, rue Jean Souvraz S.P. 18, 62307 Lens Cedex, France

Identyfikatory

DOI

10.4064/sm191-1-4