Spectra of Lower Triangular Infinite Matrices Formed by Oscillatory Sequences

被引：0

作者：

Mahto, Sanjay Kumar ^{[1
,2
]}

Srivastava, P. D. ^{[3
]}

机构：

[1] Indian Inst Technol Kharagpur, Dept Math, Kharagpur 721302, W Bengal, India

[2] LNMU, RNAR Coll Samastipur, Dept Math, Darbhanga 848101, Bihar, India

[3] Indian Inst Technol Bhilai, Dept Math, Bhilai 492015, Chattisgarh, India

来源：

COMPLEX ANALYSIS AND OPERATOR THEORY | 2021年 / 15卷 / 04期

关键词：

Sequence space; Spectrum; Infinite matrix; Difference equation; Roots of polynomials;

D O I：

10.1007/s11785-021-01131-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider an infinite lower triangular matrix, which is a difference operator, with three bands formed by oscillatory sequences. We show that the matrix is a bounded linear operator over the space c0. We determine the spectrum and its subdivisions of the matrix over c(0). Then, we generalize the matrix to a (p+1)th band infinite lower triangular matrix. We give an estimation of the spectrum of this generalized matrix. Finally, we compare our results with other standard estimations.

引用

页数：24

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