Conference Paper

The space $bv_{k}^{\theta }$ and matrix transformations

Volume: 2 Number: 3 December 30, 2019
EN

The space $bv_{k}^{\theta }$ and matrix transformations

Abstract

In this study, we introduce the space $bv_{k}^{\theta },$ give its some algebraic and topological properties, and also characterize some matrix operators defined on that space. Also we extend some well known results.

Keywords

Supporting Institution

Pamukkale University Scientific Research Projects Coordinatorship

Project Number

(Grant No. 2019KRM004-029)

References

  1. [1] A. Wilansky, Summability Through Functional Analysis, North-Holland Mathematical Studies, 85, Elsevier Science Publisher, 1984.
  2. [2] A. M. Akhmedov, F. Başar, The fine spectra of the difference operator $\Delta $ over the sequence space $b{v_p},(1 \le p < \infty ),$ Acta Math. Sin. (Engl. Ser.), 23(10) (2007), 1757-1768.
  3. [3] F. Başar, B. Altay, M. Mursaleen, Some generalizations of the space bvp of p-bounded variation sequences, Nonlinear Analysis 68(2) (2008), 273–287.
  4. [4] G.C.H. Güleç, Compact Matrix Operators on Absolute Cesàro Spaces, Numer. Funct. Anal. Optim., 2019. DOI: 10.1080/01630563.2019.1633665
  5. [5] G. C. Hazar, M.A. Sarıgöl, On absolute Nörlund spaces and matrix operators, Acta Math. Sin. (Engl. Ser.), 34(5) (2018), 812-826.
  6. [6] A. M. Jarrah, E. Malkowsky, BK spaces, bases and linear operators, Rend. Circ. Mat. Palermo II, 52 (1998), 177-191.
  7. [7] E. E. Kara, M. ˙Ilkhan, Some properties of generalized Fibonacci sequence spaces, Linear and Multilinear Algebra 64 (2016), 2208–2223.
  8. [8] M. A. Sarıgöl, Spaces of Series Summable by Absolute Cesàro and Matrix Operators, Comm. Math Appl. 7(1) (2016), 11-22.

Details

Primary Language

English

Subjects

Engineering

Journal Section

Conference Paper

Publication Date

December 30, 2019

Submission Date

October 1, 2019

Acceptance Date

December 2, 2019

Published in Issue

Year 1970 Volume: 2 Number: 3

APA
Hazar Güleç, G. C., & Sarıgöl, M. A. (2019). The space $bv_{k}^{\theta }$ and matrix transformations. Conference Proceedings of Science and Technology, 2(3), 169-172. https://izlik.org/JA89RS95FG
AMA
1.Hazar Güleç GC, Sarıgöl MA. The space $bv_{k}^{\theta }$ and matrix transformations. Conference Proceedings of Science and Technology. 2019;2(3):169-172. https://izlik.org/JA89RS95FG
Chicago
Hazar Güleç, G. Canan, and Mehmet Ali Sarıgöl. 2019. “The Space $bv_{k}^{\theta }$ and Matrix Transformations”. Conference Proceedings of Science and Technology 2 (3): 169-72. https://izlik.org/JA89RS95FG.
EndNote
Hazar Güleç GC, Sarıgöl MA (December 1, 2019) The space $bv_{k}^{\theta }$ and matrix transformations. Conference Proceedings of Science and Technology 2 3 169–172.
IEEE
[1]G. C. Hazar Güleç and M. A. Sarıgöl, “The space $bv_{k}^{\theta }$ and matrix transformations”, Conference Proceedings of Science and Technology, vol. 2, no. 3, pp. 169–172, Dec. 2019, [Online]. Available: https://izlik.org/JA89RS95FG
ISNAD
Hazar Güleç, G. Canan - Sarıgöl, Mehmet Ali. “The Space $bv_{k}^{\theta }$ and Matrix Transformations”. Conference Proceedings of Science and Technology 2/3 (December 1, 2019): 169-172. https://izlik.org/JA89RS95FG.
JAMA
1.Hazar Güleç GC, Sarıgöl MA. The space $bv_{k}^{\theta }$ and matrix transformations. Conference Proceedings of Science and Technology. 2019;2:169–172.
MLA
Hazar Güleç, G. Canan, and Mehmet Ali Sarıgöl. “The Space $bv_{k}^{\theta }$ and Matrix Transformations”. Conference Proceedings of Science and Technology, vol. 2, no. 3, Dec. 2019, pp. 169-72, https://izlik.org/JA89RS95FG.
Vancouver
1.G. Canan Hazar Güleç, Mehmet Ali Sarıgöl. The space $bv_{k}^{\theta }$ and matrix transformations. Conference Proceedings of Science and Technology [Internet]. 2019 Dec. 1;2(3):169-72. Available from: https://izlik.org/JA89RS95FG