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k-diskcyclic operators on Banach spaces


Bamerni, Nareen and Kilicman, Adem (2016) k-diskcyclic operators on Banach spaces. In: 2nd International Conference on Mathematical Sciences and Statistics (ICMSS2016), 26-28 Jan. 2016, Kuala Lumpur, Malaysia. (pp. 1-7).


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.

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Official URL or Download Paper: http://aip.scitation.org/doi/abs/10.1063/1.4952536

Additional Metadata

Item Type: Conference or Workshop Item (Paper)
Divisions: Faculty of Science
DOI Number: https://doi.org/10.1063/1.4952536
Publisher: AIP Publishing
Keywords: Banach spaces; k-diskcyclic
Depositing User: Nabilah Mustapa
Date Deposited: 08 Sep 2017 05:29
Last Modified: 08 Sep 2017 05:29
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1063/1.4952536
URI: http://psasir.upm.edu.my/id/eprint/57177
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