二次增生算子束的因式分解及其应用
A factorization of a quadratic pencils of accretive operators and applications
摘要：
给出了希尔伯特空间中二次增生算子束的一个标准分解.同时，我们建立了m-增生算子与其Moore-Penorse逆之间的一些关系.作为应用，我们研究了非齐次情形下完全抽象二阶微分方程严格解的存在性、唯一性和极大正则性的一个结果.本文最后提出了前面讨论中遗留下来的一些问题。
英文摘要：
A canonical factorization is given for a quadratic pencil of accretive operators in a Hilbert space. Also, we establish some relationships between an m-accretive operator and its Moore-Penorse inverse. As an application, we study a result of existence, uniqueness, and maximal regularity of the strict solution for complete abstract second order differential equation in the non-homogeneous case. The paper is concluded with some questions left open from the preceding discussions.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
