Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6419060 | Journal of Mathematical Analysis and Applications | 2013 | 6 Pages |
Abstract
A bounded linear operator T on a Banach space X is called subspace-hypercyclic for a subspace M if orb(T,x)â©M is dense in M for a vector xâM. In this case we show that p(T) has a relatively dense range for every real or complex polynomial p, which in turn answers a question posed in Madore and Martinez-Avendano (2011) [8]. As a consequence, the algebraic structure of the set of subspace-hypercyclic vectors can be described.
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Physical Sciences and Engineering
Mathematics
Analysis
Authors
H. Rezaei,