Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4614567 | Journal of Mathematical Analysis and Applications | 2016 | 4 Pages |
Abstract
In this short note, we prove that for a dense set A⊂XA⊂X (XX is a Banach space) there is a non-trivial closed subspace M⊂XM⊂X such that A∩MA∩M is dense in MM. We use this result to answer a question posed in Madore and Martínez-Avendaño (2011) [9]. In particular, we show that every hypercyclic operator is subspace-hypercyclic.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Nareen Bamerni, Vladimir Kadets, Adem Kılıçman,