Some properties of subspace convex-cyclic operators

Volume 22 , Issue 1 , January 2020 , Pages 345-352

Authors

Dilan Ahmed 1 ; Mudhafar F. Hama 2 ; Jaroslaw Wozniak 3 ; Karwan Jwamer 2

1 Mathematics Department, College of Education, University of Sulaimani, Sulaimani, Kurditan Region – Iraq

2 Mathematics Department,College of Science University of Sulaimani, Sulaimani, Kurditan Region – Iraq

3 Institute of Mathematics, Department of Mathematics and Physics, University of Szczecin, Ul. Wielkopolska 15, 70-451 Szczecin, Poland

DOI logo 10.17656/jzs.10797

Keywords

Abstract

On a Banach space X, a bounded linear operator A is a called subspace convex-cyclic associated with W as a subspace, if the set  is dense in W for a vector . In this work, we use Hahn- Banach Theorem to show that the extending linear functional preserve subspace convex-cyclic operator property. Also, the algebraic structures of subspace convex-cyclic vectors can be determined, such as the spectrum.

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  • Published at30 January 2020

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