Some New Hilbert Sequence Spaces
Authors : Harun POLAT
Pages : 367-372
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Publication Date : 2016-06-01
Article Type : Research
Abstract :The main purpose of the present paper is to study of some new Hilbert sequence spaces , and . New Hilbert sequence spaces , and consisting all the sequences whose - transforms are in the spaces , and , respectively. The new Hilbert sequence spaces , and that are - spaces and prove that the spaces , and are linearly isomorphic to the spaces , and , respectively. Afterward the bases and α, β and γ duals of these spaces will be given. Finally, matrix the classes and have been characterized.Keywords : Hilbert sequence spaces, α, β and γ duals and bases of sequence, Matrix mappings