Some New Hilbert Sequence Spaces

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Muş Alparslan Üniversitesi Fen Bilimleri Dergisi
Volume:4 Issue:1
Some New Hilbert Sequence Spaces

Some New Hilbert Sequence Spaces

Authors : Harun POLAT

Pages : 367-372

View : 49 | Download : 16

Publication Date : 2016-06-01

Article Type : Research Paper

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

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