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Generalized Riesz Spaces Defined by Using a Sequence of Modulus Functions

Cilt: 7 Sayı: 3 4 Eylül 2024
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EN

Generalized Riesz Spaces Defined by Using a Sequence of Modulus Functions

Öz

In this paper, we define a new Riesz sequence space using a sequence of modulus functions. Furthermore, we give that this space is linearly isomorphism with l(p) and determine its basis. We also give some inclusion relationships and compute α- and β- duals of this space.

Anahtar Kelimeler

Riesz Sequence Spaces, Modulus Function, Paranorm, İnfinite Matrices

Kaynakça

  1. 1 I. J. Maddox, Elements of Functional Analysis , 2nded., The University Press, Cambridge, (1988).
  2. 2 N. Nakano, Concave modulars, J. Math. Soc. Japan, 5(1953), 29-49.
  3. 3 M. Mursaleen, and A. K. Noman, On some new difference sequence spaces of non-absolute type, Math. Comput. Mod., 52 (2010), pp. 603-617.
  4. 4 W. H. Ruckle, FK spaces in which the sequence of coordinate vectors is bounded, Canad. J. Math., 25(1973), 973-978.
  5. 5 S. Toeplitz,¨ Uber allegemeine Lineare mittelbildungen, Prace Math.¨ Fiz., 22 (1991). pp.113-119.
  6. 6 A. Wilansky, Summability through Functional Analysis, North Holland Mathematics Studies, Amsterdam - New York - Oxford, (1984).
  7. 7 Gupkari S.A., Some New Generalized Riesz Spaces, Fasciculi Mathematici, (2023).
  8. 8 K. Raj and S.K Sharma., Difference Sequence Spaces Defined by A Sequence of Modulus Functions, Proyecciones Journal of Mathematics, (2011).
  9. 9 G. M. Petersen, Regular matrix transformations, Mc Graw-Hill, London, (1966).
  10. 10 N. A. Sheikh and A. H. Ganie, A new paranormed sequence space and some matrix transformations, Acta Math. Acad. Paedago. Nygr., 28 (2012), pp. 47-58.

Kaynak Göster

APA
Özçelik, E., & Bektaş, Ç. (2024). Generalized Riesz Spaces Defined by Using a Sequence of Modulus Functions. Journal of Advanced Mathematics and Mathematics Education, 7(3), 1-12. https://izlik.org/JA97ZB69XE
AMA
1.Özçelik E, Bektaş Ç. Generalized Riesz Spaces Defined by Using a Sequence of Modulus Functions. Journal of Advanced Mathematics and Mathematics Education. 2024;7(3):1-12. https://izlik.org/JA97ZB69XE
Chicago
Özçelik, Emine, ve Çiğdem Bektaş. 2024. “Generalized Riesz Spaces Defined by Using a Sequence of Modulus Functions”. Journal of Advanced Mathematics and Mathematics Education 7 (3): 1-12. https://izlik.org/JA97ZB69XE.
EndNote
Özçelik E, Bektaş Ç (01 Eylül 2024) Generalized Riesz Spaces Defined by Using a Sequence of Modulus Functions. Journal of Advanced Mathematics and Mathematics Education 7 3 1–12.
IEEE
[1]E. Özçelik ve Ç. Bektaş, “Generalized Riesz Spaces Defined by Using a Sequence of Modulus Functions”, Journal of Advanced Mathematics and Mathematics Education, c. 7, sy 3, ss. 1–12, Eyl. 2024, [çevrimiçi]. Erişim adresi: https://izlik.org/JA97ZB69XE
ISNAD
Özçelik, Emine - Bektaş, Çiğdem. “Generalized Riesz Spaces Defined by Using a Sequence of Modulus Functions”. Journal of Advanced Mathematics and Mathematics Education 7/3 (01 Eylül 2024): 1-12. https://izlik.org/JA97ZB69XE.
JAMA
1.Özçelik E, Bektaş Ç. Generalized Riesz Spaces Defined by Using a Sequence of Modulus Functions. Journal of Advanced Mathematics and Mathematics Education. 2024;7:1–12.
MLA
Özçelik, Emine, ve Çiğdem Bektaş. “Generalized Riesz Spaces Defined by Using a Sequence of Modulus Functions”. Journal of Advanced Mathematics and Mathematics Education, c. 7, sy 3, Eylül 2024, ss. 1-12, https://izlik.org/JA97ZB69XE.
Vancouver
1.Emine Özçelik, Çiğdem Bektaş. Generalized Riesz Spaces Defined by Using a Sequence of Modulus Functions. Journal of Advanced Mathematics and Mathematics Education [Internet]. 01 Eylül 2024;7(3):1-12. Erişim adresi: https://izlik.org/JA97ZB69XE