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On the spectrum of fractional difference operator
Linear and Multilinear Algebra ( IF 0.9 ) Pub Date : 2021-08-09 , DOI: 10.1080/03081087.2021.1960261 Pinakadhar Baliarsingh 1
中文翻译:
关于分数差算子的谱
更新日期:2021-08-09
Linear and Multilinear Algebra ( IF 0.9 ) Pub Date : 2021-08-09 , DOI: 10.1080/03081087.2021.1960261 Pinakadhar Baliarsingh 1
Affiliation
This work mainly explores the idea of the spectrum of the fractional difference operator (of order ) over the Banach space ℓ1. The difference operator via the sequence x = (xk) is defined by where (α)i denotes the Pochhammer symbol, and ν = (νk) is either a constant or strictly decreasing sequence of positive real numbers with some conditions. Sets comprising of the point, the residual and the continuous spectrum of the operator on the Banach space ℓ1 are computed.
中文翻译:
关于分数差算子的谱
这项工作主要探讨分数差算子谱的思想(按顺序) 在 Banach 空间 ℓ 1上。差分算子通过序列x = ( x k ) 定义为其中 ( α ) i表示 Pochhammer 符号,并且ν = ( ν k ) 在某些条件下是常数或严格递减的正实数序列。由算子的点、残差和连续谱组成的集合在 Banach 空间 ℓ 1上计算。