Journals / Muş Alparslan Üniversitesi Fen Bilimleri Dergisi / 2016 / Cilt: 4 - Sayı: 1
Some New Hilbert Sequence Spaces
- Pages
- 367–372
- DOI
- —
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.
Özet
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.