Non-Existence of Common Hypercyclic Entire Functions for Certain Families of Translation Operators
نویسندگان
چکیده
منابع مشابه
Common Hypercyclic Vectors for Families of Operators
We provide a criterion for the existence of a residual set of common hypercyclic vectors for an uncountable family of hypercyclic operators, which is based on a previous one given by Costakis and Sambarino. As an application, we get common hypercyclic vectors for a particular family of hypercyclic scalar multiples of the adjoint of a multiplier in the Hardy space, generalizing recent results by...
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1. Introduction. The research reported on in the present note was motivated by the following Proposition (F), due to Ernest Fischer ([5], see also [4] for an earlier version; actually Fischer proved a more general result, but the special case suffices as a point of departure for our discussion) : (F) Let P denote a homogeneous polynomial in si, • • • , z k with complex coefficients. Then every ...
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ژورنال
عنوان ژورنال: Computational Methods and Function Theory
سال: 2015
ISSN: 1617-9447,2195-3724
DOI: 10.1007/s40315-015-0107-1