Lifting of operators that commute with shifts.
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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The motivating point of our research was differential operators on the noncommutative torus studied by Connes [1, 2], who in particular obtained an index formula for such operators. These operators include shifts (more precisely, in this case, irrational rotations); hence our interest in general differential equations with shifts naturally arose. Let M be a smooth closed manifold. We consider o...
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ژورنال
عنوان ژورنال: Michigan Mathematical Journal
سال: 1975
ISSN: 0026-2285
DOI: 10.1307/mmj/1029001422