n-赋范空间中欧拉差分序列空间的几个性质
Some Properties of Euler Difference Sequence Spaces in n-Normed Spaces
DOI: 10.12677/AAM.2021.106201, PDF,   
作者: 赵顺心:天津财经大学珠江学院,天津
关键词: 欧拉矩阵序列空间完备性Euler Matrix Sequence Space Completeness
摘要: 在这篇文章中,我们主要研究定义在实线性n-赋范空间下欧拉序列空间在适当n-范数下的完备性,同时得到某些序列空间之间的相互包含关系。
Abstract: In this paper, we mainly study the completeness of Eulerian sequence spaces defined in real linear n-normed spaces under appropriate n-norms, and obtain the mutual inclusion relations between some sequence spaces.
文章引用:赵顺心. n-赋范空间中欧拉差分序列空间的几个性质[J]. 应用数学进展, 2021, 10(6): 1919-1923. https://doi.org/10.12677/AAM.2021.106201

参考文献

[1] Kizmaz, H. (1981) On Certain Sequence Spaces. Canadian Mathematical Bulletin, 24, 169-176. [Google Scholar] [CrossRef
[2] Et, M. and Colak, R. (1995) On Some Generalized Difference Sequence Spaces. Soochow Journal Mathematics, 21, 377-386.
[3] Tripathy, B.C. and Esi, A. (2006) A New Type of Difference Sequence Spaces. International Journal of Environmental Science and Technology, 1, 11-14.
[4] Dutta, H. (2009) Characterization of Certain Matrix Classes Involving Generalized Difference Spaces. Applied Sciences, 11, 60-67.
[5] Misiak, A. (1989) Orthogonality and Orthonormality in n-Inner Product Spaces. Mathematische Nachrichten, 143, 249- 261. [Google Scholar] [CrossRef
[6] Zeller, K. (1958) Theorie der Limitierungsverfahren. Springer, Berlin. [Google Scholar] [CrossRef
[7] Powell, R.E. and Shah, S.M. (1972) Summability Theory and Its Applications. Van Nostrand-Reinhold Company, London.
[8] Altay, B., Basar, F. and Mursaleen, M. (2006) On the Euler Sequence Spaces Which Include the Spaces lp and l∞ I. Information Sciences, 176, 1450-1462. [Google Scholar] [CrossRef
[9] Mursaleen, M., Basar, F. and Altay, B. (2006) On the Euler Sequence Spaces Which Include the Spaces lp and l∞ II. Nonlinear Analysis: Theory, Methods & Applications, 65, 707-717. [Google Scholar] [CrossRef
[10] Altay, B. and Polat, H. (2006) On Some New Euler Difference Sequence Spaces. Southeast Asian Bulletin of Mathematics, 30, 209-220.