On the eleventh question of Allen Shields

Abstract

Abstract In this article, we will give sufficient conditions for the boundedness of the analytic projection on the set of multipliers of the formal Laurent series spaces. This answers a question that has been raised by A. L. Shields. Also, we will characterize the fixed points of some weighted composition operators acting on weighted Hardy spaces. AMS Subject Classification: Primary 47B37; Secondary 47B38.

Keywords

• Banach space of Laurent series associated with a sequence <it>&#946;</it>
• bounded point evaluation; spectral set
• weak operator topology