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Year 2020, , 45 - 51, 10.06.2020
https://doi.org/10.33401/fujma.721287

Abstract

References

  • [1] F. Başar, Summability Theory and Its Applications, Bentham Science Publishers, ˙Istanbul, 2012.
  • [2] M. Et, On some difference sequence spaces, Turkish J. Math., 17 (1993), 18-24.
  • [3] E. E. Kara, M. Başarır, On compact operators and some Euler B^(m) difference sequence spaces, J. Math. Anal. Appl., 379(2) (2011), 499-511.
  • [4] M. Kirişci, F. Başar, Some new sequence spaces derived by the domain of generalized difference matrix, Comput. Math. Appl., 60 (2010), 1299-1309.
  • [5] M. Mursaleen, A. K. Noman, On the spaces of $\lambda$-convergent and bounded sequences, Thai J. Math., 8(2) (2012), 311–329.
  • [6] P. Zengin Alp, M. İlkhan, On the difference sequence space `l_p(T^q), Math. Sci. Appl. E-Notes, 7(2) (2019), 161-173.
  • [7] M. Mursaleen, F. Başar, B. Altay, On the Euler sequence spaces which include the spaces `p and `¥ II, Nonlinear Anal., 65(3) (2006), 707–717.
  • [8] S. Demiriz, C. Çakan, Some topological and geometrical properties of a new difference sequence space, Abstr. Appl. Anal., 2011 (2011), Article ID 213878, 14 pages.
  • [9] M. Et, M. Karakaş, V. Karakaya, Some geometric properties of a new difference sequence space defined by de la Vallee-Poussin mean, Appl. Math. Comput., 234 (2014), 237-244.
  • [10] E. E. Kara, Some topological and geometrical properties of new Banach sequence spaces, J. Inequal. Appl., 2013 (2013), 38, 15 pages.
  • [11] V. Karakaya, Some geometric properties of sequence spaces involving lacunary sequence, J. Inequal. Appl., 2007 (2007), Article ID 81028, 8 pages.
  • [12] E. Savaş, V. Karakaya, N. Şimşek, Some l(p)-type new sequence spaces and their geometric properties, Abstr. Appl. Anal., 2009 (2009), Article ID 696971, 12 pages.
  • [13] S. Suantai, On the H-property of some Banach sequence spaces, Arch. Math., 39(4) (2003), 309–316.
  • [14] N. Şimşek, V. Karakaya, On some geometrical properties of generalized modular spaces of Cesaro type defined by weighted means, J. Inequal. Appl., 2009 (2009), Article ID 932734, 13 pages.
  • [15] I. Schoenberg, The integrability of certain functions and related summability methods, Amer. Math. Monthly, 66 (1959), 361–375.
  • [16] M. İlkhan, E. E. Kara, A new Banach space defined by Euler totient matrix operator, Oper. Matrices, 13(2) (2019), 527-544.
  • [17] M. Stieglitz, H. Tietz, Matrix transformationen von folgenraumen eine ergebnisübersicht, Math. Z., 154 (1977), 1-16.
  • [18] H. Knaust, Orlicz sequence spaces of Banach-Saks type, Arch. Math., 59(6) (1992), 562-565.
  • [19] J. Garcia-Falset, Stability and fixed points for nonexpansive mappings, Houston J. Math., 20(3) (1994), 495-506.
  • [20] J. Garcia-Falset, The fixed point property in Banach spaces with the NUS-property, J. Math. Anal. Appl., 215(2) (1997), 532-542.
  • [21] L. S`anchez, A. Ull`an, Some properties of Gurarii’s modulus of convexity, Arch. Math., 71 (1998), 399-406.

Certain Geometric Properties and Matrix Transformations on a Newly Introduced Banach Space

Year 2020, , 45 - 51, 10.06.2020
https://doi.org/10.33401/fujma.721287

Abstract

The main purpose of this study is to characterize some matrix classes from classical sequence spaces into a newly introduced space and find the norm of some special matrix operators. Also, we give certain geometric properties of this space.

References

  • [1] F. Başar, Summability Theory and Its Applications, Bentham Science Publishers, ˙Istanbul, 2012.
  • [2] M. Et, On some difference sequence spaces, Turkish J. Math., 17 (1993), 18-24.
  • [3] E. E. Kara, M. Başarır, On compact operators and some Euler B^(m) difference sequence spaces, J. Math. Anal. Appl., 379(2) (2011), 499-511.
  • [4] M. Kirişci, F. Başar, Some new sequence spaces derived by the domain of generalized difference matrix, Comput. Math. Appl., 60 (2010), 1299-1309.
  • [5] M. Mursaleen, A. K. Noman, On the spaces of $\lambda$-convergent and bounded sequences, Thai J. Math., 8(2) (2012), 311–329.
  • [6] P. Zengin Alp, M. İlkhan, On the difference sequence space `l_p(T^q), Math. Sci. Appl. E-Notes, 7(2) (2019), 161-173.
  • [7] M. Mursaleen, F. Başar, B. Altay, On the Euler sequence spaces which include the spaces `p and `¥ II, Nonlinear Anal., 65(3) (2006), 707–717.
  • [8] S. Demiriz, C. Çakan, Some topological and geometrical properties of a new difference sequence space, Abstr. Appl. Anal., 2011 (2011), Article ID 213878, 14 pages.
  • [9] M. Et, M. Karakaş, V. Karakaya, Some geometric properties of a new difference sequence space defined by de la Vallee-Poussin mean, Appl. Math. Comput., 234 (2014), 237-244.
  • [10] E. E. Kara, Some topological and geometrical properties of new Banach sequence spaces, J. Inequal. Appl., 2013 (2013), 38, 15 pages.
  • [11] V. Karakaya, Some geometric properties of sequence spaces involving lacunary sequence, J. Inequal. Appl., 2007 (2007), Article ID 81028, 8 pages.
  • [12] E. Savaş, V. Karakaya, N. Şimşek, Some l(p)-type new sequence spaces and their geometric properties, Abstr. Appl. Anal., 2009 (2009), Article ID 696971, 12 pages.
  • [13] S. Suantai, On the H-property of some Banach sequence spaces, Arch. Math., 39(4) (2003), 309–316.
  • [14] N. Şimşek, V. Karakaya, On some geometrical properties of generalized modular spaces of Cesaro type defined by weighted means, J. Inequal. Appl., 2009 (2009), Article ID 932734, 13 pages.
  • [15] I. Schoenberg, The integrability of certain functions and related summability methods, Amer. Math. Monthly, 66 (1959), 361–375.
  • [16] M. İlkhan, E. E. Kara, A new Banach space defined by Euler totient matrix operator, Oper. Matrices, 13(2) (2019), 527-544.
  • [17] M. Stieglitz, H. Tietz, Matrix transformationen von folgenraumen eine ergebnisübersicht, Math. Z., 154 (1977), 1-16.
  • [18] H. Knaust, Orlicz sequence spaces of Banach-Saks type, Arch. Math., 59(6) (1992), 562-565.
  • [19] J. Garcia-Falset, Stability and fixed points for nonexpansive mappings, Houston J. Math., 20(3) (1994), 495-506.
  • [20] J. Garcia-Falset, The fixed point property in Banach spaces with the NUS-property, J. Math. Anal. Appl., 215(2) (1997), 532-542.
  • [21] L. S`anchez, A. Ull`an, Some properties of Gurarii’s modulus of convexity, Arch. Math., 71 (1998), 399-406.
There are 21 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Articles
Authors

Merve İlkhan 0000-0002-0831-1474

Publication Date June 10, 2020
Submission Date January 16, 2020
Acceptance Date January 31, 2020
Published in Issue Year 2020

Cite

APA İlkhan, M. (2020). Certain Geometric Properties and Matrix Transformations on a Newly Introduced Banach Space. Fundamental Journal of Mathematics and Applications, 3(1), 45-51. https://doi.org/10.33401/fujma.721287
AMA İlkhan M. Certain Geometric Properties and Matrix Transformations on a Newly Introduced Banach Space. Fundam. J. Math. Appl. June 2020;3(1):45-51. doi:10.33401/fujma.721287
Chicago İlkhan, Merve. “Certain Geometric Properties and Matrix Transformations on a Newly Introduced Banach Space”. Fundamental Journal of Mathematics and Applications 3, no. 1 (June 2020): 45-51. https://doi.org/10.33401/fujma.721287.
EndNote İlkhan M (June 1, 2020) Certain Geometric Properties and Matrix Transformations on a Newly Introduced Banach Space. Fundamental Journal of Mathematics and Applications 3 1 45–51.
IEEE M. İlkhan, “Certain Geometric Properties and Matrix Transformations on a Newly Introduced Banach Space”, Fundam. J. Math. Appl., vol. 3, no. 1, pp. 45–51, 2020, doi: 10.33401/fujma.721287.
ISNAD İlkhan, Merve. “Certain Geometric Properties and Matrix Transformations on a Newly Introduced Banach Space”. Fundamental Journal of Mathematics and Applications 3/1 (June 2020), 45-51. https://doi.org/10.33401/fujma.721287.
JAMA İlkhan M. Certain Geometric Properties and Matrix Transformations on a Newly Introduced Banach Space. Fundam. J. Math. Appl. 2020;3:45–51.
MLA İlkhan, Merve. “Certain Geometric Properties and Matrix Transformations on a Newly Introduced Banach Space”. Fundamental Journal of Mathematics and Applications, vol. 3, no. 1, 2020, pp. 45-51, doi:10.33401/fujma.721287.
Vancouver İlkhan M. Certain Geometric Properties and Matrix Transformations on a Newly Introduced Banach Space. Fundam. J. Math. Appl. 2020;3(1):45-51.

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