Inversion of Series of Resolvents for Closed Operators and Some Applications

Siberian Advances in Mathematics Pub Date : 2022-06-18 DOI:10.1134/s1055134422020079

A. R. Mirotin

引用次数: 0

Abstract

We consider an operator represented by the sum of a series in the values of the resolvent of a densely defined closed operator in a complex Banach space. We describe the left inverse for this operator, apply this result to regularization of equations of the first kind, and consider several examples.

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闭算子解级数的反演及其应用

考虑复Banach空间中稠密定义闭算子的解值的级数和所表示的算子。我们描述了这个算子的左逆，将这个结果应用于第一类方程的正则化，并考虑了几个例子。

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

Siberian Advances in Mathematics Mathematics-Mathematics (all)

CiteScore

0.70

自引率

0.00%

发文量

期刊介绍： Siberian Advances in Mathematics is a journal that publishes articles on fundamental and applied mathematics. It covers a broad spectrum of subjects: algebra and logic, real and complex analysis, functional analysis, differential equations, mathematical physics, geometry and topology, probability and mathematical statistics, mathematical cybernetics, mathematical economics, mathematical problems of geophysics and tomography, numerical methods, and optimization theory.