SavedAdd your journal

Journals / Sakarya University Journal of Science / 2026 / Volume: 23 Issue: 5

A New Class of s-type X(u,v;l_p(E)) Operators

Pınar Zengin Alp(DÜZCE ÜNİVERSİTESİ)0000-0001-9699-7199
Merve İlkhan(DÜZCE ÜNİVERSİTESİ)0000-0002-0831-1474
Pages
—
Publication Date
2019-10-01
🏛️Bibliographic metadata and full text access for this article are provided via DergiPark.
DergiPark Record ↗
✨

AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Also we show that this class is a quasi-Banach operator ideal and we study on the properties of the classes which are produced via different types of s-numbers.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this study, we introduce the class of s-type X(u,v;l_p(E)) operators, L_(u,v;E) .
📊
Key Findings & Data:In this study, we introduce the class of s-type X(u,v;l_p(E)) operators, L_(u,v;E) .
💡
Conclusion & Impact:Also we show that this class is a quasi-Banach operator ideal and we study on the properties of the classes which are produced via different types of s-numbers.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:operator ideals · s-numbers · block sequence spaces

Abstract

In this study, we introduce the class of s-type X(u,v;l_p(E)) operators, L_(u,v;E) . Also we show that this class is a quasi-Banach operator ideal and we study on the properties of the classes which are produced via different types of s-numbers.

🔖

Cite This Article

Alp, P. Z., İlkhan, M. (2019). A New Class of s-type X(u,v;l_p(E)) Operators. Sakarya University Journal of Science, Volume: 23 Issue: 5. https://doi.org/10.16984/saufenbilder.517762

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (19)

  1. J. Burgoyne, “Denseness of the generalized eigenvectors of a discrete operator in a Banach space,” Journal of Operator Theory,vol.33, pp. 279-297, 1995.
  2. B. Carl, A. Hinrichs, “On s-numbers and Weyl inequalities of operators in Banach spaces,” Bulletin of the London Mathematical Society, vol. 41, no. 2, pp. 332-340, 2009.
  3. G. Constant "Operators of ces-p-type," Atti Della Academia Nazionale dei Lincei Rendiconti-classe di Scienze Fisiche-Mathematiche & Naturali, vol. 52, no. 6, pp.875-878, 1973.
  4. D. Foroutannia, “On the block sequence space lp (E) and related matrix transformations,” Turkish Journal of Mathematics, vol. 39, pp. 830-841, 2015.
  5. E. E. Kara, M. İlkhan, “On a new class of s-type operators,” Konuralp Journal of Mathematics, vol. 3, no. 1, pp. 1-11, 2015.
  6. A. Maji, P.D. Srivastava, “Some class of operator ideals,” International Journal of Pure and Applied Mathematics, vol. 83, no. 5, pp. 731-740, 2013.
  7. A. Maji, P.D. Srivastava, “Some results of operator ideals on s-type |A,p| operators,” Tamkang Journal of Mathematics, vol. 45, no. 2, pp. 119-136, 2014.
  8. A. Maji, P.D. Srivastava, “On operator ideals using weighted Cesàro sequence space,” Journal of the Egyptian Mathematical Society, vol. 22, no. 3, pp. 446-452, 2014.
  9. A. Pietsch, “Einigie neu Klassen von Kompakten linearen Abbildungen,” Romanian Journal of Pure and Applied Mathematics, vol. 8, pp. 427-447, 1963.
  10. A. Pietsch, “Operator Ideals,” VEB Deutscher Verlag der Wissenschaften, Berlin, 1978.
  11. A. Pietsch, “Eigenvalues and s-numbers,” Cambridge University Press, New York, 1986.
  12. A. Pietsch, “s-Numbers of operators in Banach spaces,” Studia Mathematica, vol. 51, no. 3, pp. 201-223,1974.
  13. H Roopaei, D Foroutannia, “The norm of certain matrix operators on new difference sequence spaces,” Jordan Journal of Mathematics and Statistics, vol. 8, no. 3, pp. 223 - 237, 2015.
  14. H. Roopaei, D Foroutannia, “A new sequence space and norm of certain matrix operators on this space,” Sahand Communications in Mathematical Analysis (SCMA), vol. 3, no. 1, pp. 1-12, 2016.
  15. S. Saejung, “Another look at Cesaro sequence spaces,” Journal of Mathematical Analysis and Applications, vol. 366, no. 2, pp. 530–537, 2010.
  16. J. S. Shiue, “On the Cesaro sequence spaces,” Tamkang Journal of Mathematics, vol. 1, no. 1, pp. 19–25, 1970.
  17. N. Şimşek,V. Karakaya, H. Polat, “Operators ideals of generalized modular spaces of Cesaro type defined by weighted means,” Journal of Computational Analysis and Applications, vol. 19, no. 1, pp. 804-811, 2015.
  18. N. Tita, “On Stolz mappings,” Mathematica Japonica, vol. 26, no. 4, pp. 495–496, 1981.
  19. A. Pietsch, “Einigie neu Klassen von Kompakten linearen Abbildungen,” Romanian Journal of Pure and Applied Mathematics, vol. 8, pp. 427-447, 1963.