Compositional frequent hypercyclicity on weighted Dirichlet spaces

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compactifications and function spaces on weighted semigruops

chapter one is devoted to a moderate discussion on preliminaries, according to our requirements. chapter two which is based on our work in (24) is devoted introducting weighted semigroups (s, w), and studying some famous function spaces on them, especially the relations between go (s, w) and other function speces are invesigated. in fact this chapter is a complement to (32). one of the main fea...

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On Cyclicity in Weighted Dirichlet Spaces

We extend some results of Brown and Shields on cyclicity to weighted Dirichlet spaces 0<α< 1. We prove a comparison theorem for cyclicity in these spaces and provide a result on the geometry of the family of cyclic vectors in general functional Hilbert spaces.

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ژورنال

عنوان ژورنال: Bulletin of the Belgian Mathematical Society - Simon Stevin

سال: 2010

ISSN: 1370-1444

DOI: 10.36045/bbms/1267798495