Harun POLAT

380

Some New Hilbert Sequence Spaces

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.
Anahtar Kelimeler:

Hilbert sequence spaces, α, β and γ duals and bases of sequence, Matrix mappings

Some New Hilbert Sequence Spaces

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,

Tam Metin

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  • [9] Raja, P. V. K., Chakravarthy, A. S. N., Avadhani, P. S. A Cryptosystem Based on Hilbert Matrix using Cipher Block Chaining Mode. arXiv preprint arXiv:1110.1498, 2011.
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  • [11] Maddox, I. J. Elements of Functional Analysis, Cambridge University Press, Cambridge 1988.
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Bibtex @araştırma makalesi { msufbd327889, journal = {Muş Alparslan Üniversitesi Fen Bilimleri Dergisi}, issn = {2147-7930}, eissn = {2149-6455}, address = {}, publisher = {Muş Alparslan Üniversitesi}, year = {2016}, volume = {4}, number = {1}, pages = {367 - 372}, title = {Some New Hilbert Sequence Spaces}, key = {cite}, author = {Polat, Harun} }
APA Polat, H. (2016). Some New Hilbert Sequence Spaces . Muş Alparslan Üniversitesi Fen Bilimleri Dergisi , 4 (1) , 367-372 .
MLA Polat, H. "Some New Hilbert Sequence Spaces" . Muş Alparslan Üniversitesi Fen Bilimleri Dergisi 4 (2016 ): 367-372 <
Chicago Polat, H. "Some New Hilbert Sequence Spaces". Muş Alparslan Üniversitesi Fen Bilimleri Dergisi 4 (2016 ): 367-372
RIS TY - JOUR T1 - Some New Hilbert Sequence Spaces AU - HarunPolat Y1 - 2016 PY - 2016 N1 - DO - T2 - Muş Alparslan Üniversitesi Fen Bilimleri Dergisi JF - Journal JO - JOR SP - 367 EP - 372 VL - 4 IS - 1 SN - 2147-7930-2149-6455 M3 - UR - Y2 - 2016 ER -
EndNote %0 Muş Alparslan Üniversitesi Fen Bilimleri Dergisi Some New Hilbert Sequence Spaces %A Harun Polat %T Some New Hilbert Sequence Spaces %D 2016 %J Muş Alparslan Üniversitesi Fen Bilimleri Dergisi %P 2147-7930-2149-6455 %V 4 %N 1 %R %U
ISNAD Polat, Harun . "Some New Hilbert Sequence Spaces". Muş Alparslan Üniversitesi Fen Bilimleri Dergisi 4 / 1 (Haziran 2016): 367-372 .
AMA Polat H. Some New Hilbert Sequence Spaces. MAUN Fen Bil. Dergi.. 2016; 4(1): 367-372.
Vancouver Polat H. Some New Hilbert Sequence Spaces. Muş Alparslan Üniversitesi Fen Bilimleri Dergisi. 2016; 4(1): 367-372.
IEEE H. Polat , "Some New Hilbert Sequence Spaces", , c. 4, sayı. 1, ss. 367-372, Haz. 2016
Muş Alparslan Üniversitesi Fen Bilimleri Dergisi
  • ISSN: 2147-7930
  • Yayın Aralığı: Yılda Yılda 2 Sayı
  • Yayıncı: Muş Alparslan Üniversitesi

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Sayıdaki Diğer Makaleler

Some New Hilbert Sequence Spaces

Harun POLAT