This paper presents an investigation of the spectra of the infinite tridiagonal Jacobi matrices with constant entries as operators acting on Banach sequence spaces. It is shown that the spectra vary depending on the Banach sequence space under consideration. However, the methods presented in this paper are flexible to be adapted to study the spectral problem of the Jacobi matrices in many sequence spaces.

中文翻译：

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Banach 序列空间上常数 Jacobi 矩阵的谱

本文介绍了对无限三对角 Jacobi 矩阵的谱的研究，其中常数项作为作用于 Banach 序列空间的算子。结果表明，光谱因所考虑的 Banach 序列空间而异。然而，本文提出的方法很灵活，可以适应研究许多序列空间中雅可比矩阵的谱问题。