In the present paper, we introduce a new regular matrix B~$\tilde{B}$$\tilde{B}$ and define the sequence space ℓp(B~)${\ell }_p(\tilde{B})$${\ell }_p(\tilde{B})$. We also examine some topological properties for this space and determine α - ,β - ,γ - $\alpha \text{ - },\beta \text{ - },\gamma \text{ - }$$\alpha \text{ - },\beta \text{ - },\gamma \text{ - }$duals. As well, we characterize some matrix classes and investigate some geometric properties such as uniform convexity, strict convexity and super-reflexivity.

中文翻译：

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关于涉及铃数的序列空间

在本文中，我们引入了一个新的正则矩阵乙〜$\stackrel{〜}{乙}$$\tilde{B}$并定义序列空间ℓp（乙〜）${\ell }_p（\stackrel{〜}{乙}）$${\ell }_p(\tilde{B})$。我们还检查了该空间的一些拓扑属性并确定α  -  , β -  , γ - $\alpha \text{ - },\beta \text{ - },\gamma \text{ - }$$\alpha \text{ - },\beta \text{ - },\gamma \text{ - }$双打。此外，我们还描述了一些矩阵类并研究了一些几何性质，例如一致凸性、严格凸性和超自反性。