Estimates of Green matrix entries of selfadjoint unbounded block Jacobi matrices

IF 0.7 4区 数学 Q2 MATHEMATICS
S. Naboko, S. Simonov
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引用次数: 0

Abstract

In a wide class of block Jacobi matrices, the norms of Green matrix (resolvent) entries are estimated. This estimate depends on the rate of growth of the norms of the off-diagonal entries and on the distance from the spectral parameter to the essential spectrum if the latter is nonempty. The sharpness of this estimate is shown by an example.

自结合无约束块雅可比矩阵的绿矩阵项的估计值
在一大类块雅可比矩阵中,对绿色矩阵(解析)项的规范进行了估算。该估计值取决于对角线外条目规范的增长率,以及光谱参数与本质谱的距离(如果后者非空)。我们通过一个例子来说明这种估计的精确性。
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来源期刊
CiteScore
1.00
自引率
12.50%
发文量
52
审稿时长
>12 weeks
期刊介绍: This journal is a cover-to-cover translation into English of Algebra i Analiz, published six times a year by the mathematics section of the Russian Academy of Sciences.
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