Topological Structure of Riesz Sequence Spaces
Applied and Computational Mathematics
Volume 7, Issue 1, February 2018, Pages: 26-30
Received: Dec. 29, 2017; Accepted: Jan. 12, 2018; Published: Jan. 20, 2018
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Merve Temizer Ersoy, Department of Mathematics, Kahramanmaras Sutcu Imam University, Kahramanmaras, Turkey
Bilal Altay, Department of Primary Education, Inonu University, Malatya, Turkey
Hasan Furkan, Department of Mathematics, Kahramanmaras Sutcu Imam University, Kahramanmaras, Turkey
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In this paper, to be the Riesz matrix is symbolized by , it is defined the spaces and where for instance and computed its duals (α-dual, β-dual and γ-dual). Furthermore, it is investigated topological structure of and determined necessary and sufficient conditions for a matrix to map , or into or .
Topological Sequence Space, Banach Spaces, α-Dual, β-Dual
To cite this article
Merve Temizer Ersoy, Bilal Altay, Hasan Furkan, Topological Structure of Riesz Sequence Spaces, Applied and Computational Mathematics. Vol. 7, No. 1, 2018, pp. 26-30. doi: 10.11648/j.acm.20180701.14
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