166
Views
0
CrossRef citations to date
0
Altmetric
Articles

Non-Newtonian approach to C∗− algebras

ORCID Icon
Pages 2653-2671 | Received 27 Sep 2021, Accepted 19 Nov 2021, Published online: 23 Dec 2021

References

  • Çakmak, A. F., Başar, F. (2012). Some new results on sequence spaces with respect to non-Newtonian calculus. J. Inequal. Appl. 2012:228. DOI: 10.1186/1029-242X-2012-228.
  • Çakmak, A. F., Başar, F. (2014). Certain spaces of functions over the field of non-Newtonian complex numbers. Abstr. Appl. Anal. 2014:236124. DOI: 10.1155/2014/236124.
  • Çakmak, A. F., Başar, F. (2014). On line and double integrals in the non-Newtonian sense. AIP Conf. Proc. 1611:415–423.
  • Çakmak, A. F., Başar, F. (2015). Some sequence spaces and matrix transformations in multiplicative sense. TWMS J. Pure Appl. Math. 6(1):27–37.
  • Duyar, C., Erdoğan, M. (2016). On non-Newtonian real number series. IOSR J Math. 12(6):34–48.
  • Duyar, C., SagIr, B., Ogur, O. (2015). Some basic topological properties on non-Newtonian real line. BJMCS. 9(4):300–307. DOI: 10.9734/BJMCS/2015/17941.
  • Grossman, M. (1979). An introduction to non-Newtonian calculus. Internat. J. Math. Ed. Sci. Tech. 10(4):525–528. DOI: 10.1080/0020739790100406.
  • Grossman, M., Katz, R. (1972). Non-Newtonian Calculus, Lee Press, Pigeon Cove, MA,
  • Kadak, U. (2014). Determination of the Köthe-Toeplitz duals over the non-Newtonian complex field. Sci. World J. 2014:438924. DOI: 10.1155/2014/438924.
  • Kadak, U., Efe, H. (2014). The construction of Hilbert spaces over the non-Newtonian field. Int. J. Anal. 2014:1–10. DOI: 10.1155/2014/746059.
  • Kirişci, M. (2017). Topological structures of non-Newtonian metric spaces, Electron. J. Math. Anal. Appl. 5(2):156–169.
  • Murphy, G. J. (1990). C∗−Algebras and Operator Theory, Academic Press, Boston,
  • Tekin, S., Başar, F. (2013). Certain sequence spaces over the non-Newtonian complex field. Abstr. Appl. Anal. 2013:1–11. DOI: 10.1155/2013/739319.
  • Türkmen, C., Başar, F. (2012). Some basic results on the sets of sequences with geometric calculus. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 61(2):17–34.
  • Türkmen, C., Başar, F. (2012). Some basic results on the sets of sequences with geometric calculus. AIP Conf. Proc. 1470:95–98.
  • Uzer, A. (2010). Multiplicative type complex calculus as an alternative to the classical calculus. Comput. Math. Appl. 60(10):2725–2737. DOI: 10.1016/j.camwa.2010.08.089.
  • Uzer, A. (2015). Exact solution of conducting half plane problems in terms of a rapidly convergent series and an application of the multiplicative calculus. Turk. J. Elec. Eng. & Comp. Sci. 23(5):1294–1311. DOI: 10.3906/elk-1306-163.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.