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...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Academic Press Inc.
2016
|
| Online Access: | http://psasir.upm.edu.my/id/eprint/54471/1/Hypercyclic%20operators%20are%20subspace%20hypercyclic.pdf http://psasir.upm.edu.my/id/eprint/54471/ https://www.sciencedirect.com/science/article/pii/S0022247X15010409 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Institution: | Universiti Putra Malaysia |
| Language: | English |
| Summary: | 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. |
|---|