Hypercyclic operators are subspace hypercyclic

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Hypercyclic operators are subspace hypercyclic

In this short note, we prove that for a dense set (is a Banach space) there is a non-trivial closed subspace such that is dense in. 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...

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Bibliographic Details
Main Authors:	Bamerni, Nareen, Kadets, Vladimir, Kilicman, Adem
Format:	Article
Language:	English
Published:	Academic Press Inc. 2016
Subjects:	Hypercyclicity; Subspace-hypercyclicity
Online Access:	http://psasir.upm.edu.my/id/eprint/54471/ http://psasir.upm.edu.my/id/eprint/54471/1/Hypercyclic%20operators%20are%20subspace%20hypercyclic.pdf

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