The Cayley–Hamilton Theorem and Resolvent Representation

IF 0.6 4区数学 Q3 MATHEMATICS

Functional Analysis and Its Applications Pub Date : 2024-04-01 DOI:10.1134/S001626632304010X

I. D. Kostrub

引用次数: 0

Abstract

For the Frobenius matrix accompanying an algebraic (differential) equation in a complex Banach algebra, the Cayley–Hamilton theorem is proved, which is used to obtain a representation of the resolvent.

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卡莱-汉密尔顿定理和残差表示法

摘要对于复巴纳赫代数中伴随代数（微分）方程的 Frobenius 矩阵，证明了 Cayley-Hamilton 定理，并利用该定理得到了解析量的表示。

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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来源期刊

Functional Analysis and Its Applications 数学-数学

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Functional Analysis and Its Applications publishes current problems of functional analysis, including representation theory, theory of abstract and functional spaces, theory of operators, spectral theory, theory of operator equations, and the theory of normed rings. The journal also covers the most important applications of functional analysis in mathematics, mechanics, and theoretical physics.