Reductive operators that commute with a compact operator.
نویسندگان
چکیده
منابع مشابه
Hypercyclic Operators That Commute with the Bergman Backward Shift
The backward shift B on the Bergman space of the unit disc is known to be hypercyclic (meaning: it has a dense orbit). Here we ask: “Which operators that commute with B inherit its hypercyclicity?” We show that the problem reduces to the study of operators of the form φ(B) where φ is a holomorphic self-map of the unit disc that multiplies the Dirichlet space into itself, and that the question o...
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ژورنال
عنوان ژورنال: Michigan Mathematical Journal
سال: 1976
ISSN: 0026-2285
DOI: 10.1307/mmj/1029001522