k-diskcyclic operators on Banach spaces
In this paper, we define and study new classes of operators on complex Banach spaces, which we call k-diskcyclic. We use these operators to show that the direct sum of a diskcyclic operator with it self k times (k ≥ 2) does not need to be diskcyclic. However, we show that under certain conditions th...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Conference or Workshop Item |
| Language: | English |
| Published: |
AIP Publishing
2016
|
| Online Access: | http://psasir.upm.edu.my/id/eprint/57177/1/k-diskcyclic%20operators%20on%20Banach%20spaces.pdf http://psasir.upm.edu.my/id/eprint/57177/ http://aip.scitation.org/doi/abs/10.1063/1.4952536 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Institution: | Universiti Putra Malaysia |
| Language: | English |
| Summary: | In this paper, we define and study new classes of operators on complex Banach spaces, which we call k-diskcyclic. We use these operators to show that the direct sum of a diskcyclic operator with it self k times (k ≥ 2) does not need to be diskcyclic. However, we show that under certain conditions the latter statement holds true. In particular, we show that an operator T satisfies the diskcyclic criterion if and only if T is k-diskcyclic. |
|---|