On subspace-diskcyclicity | Zendy

Nareen Bamerni | Zendy; Adem Kılıçman | Zendy

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On subspace-diskcyclicity

Author(s) -

Nareen Bamerni,

Adem Kılıçman

Publication year - 2016

Publication title -

arab journal of mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.353

H-Index - 11

eISSN - 2588-9214

pISSN - 1319-5166

DOI - 10.1016/j.ajmsc.2016.06.001

Subject(s) - subspace topology , mathematics , linear subspace , invariant subspace problem , invertible matrix , random subspace method , pure mathematics , banach space , operator (biology) , discrete mathematics , finite rank operator , mathematical analysis , operator space , biochemistry , chemistry , repressor , transcription factor , gene

In this paper, we define and study subspace-diskcyclic operators. We show that subspace-diskcyclicity does not imply diskcyclicity. We establish a subspace-diskcyclic criterion and use it to find a subspace-diskcyclic operator that is not subspace-hypercyclic for any subspaces. Also, we show that the inverses of invertible subspace-diskcyclic operators do not need to be subspace-diskcyclic for any subspaces. Finally, we prove that every finite-dimensional Banach space over the complex field supports a subspace-diskcyclic operator

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