自结合无约束块雅可比矩阵的绿矩阵项的估计值

IF 0.7 4区数学 Q2 MATHEMATICS St Petersburg Mathematical Journal Pub Date : 2024-04-12 DOI:10.1090/spmj/1800

S. Naboko, S. Simonov

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引用次数: 0

摘要

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。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Estimates of Green matrix entries of selfadjoint unbounded block Jacobi matrices

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.

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来源期刊

St Petersburg Mathematical Journal MATHEMATICS-

CiteScore

1.00

自引率

12.50%

发文量

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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