A factorization of a quadratic pencils of accretive operators and applications
Functional Analysis
2021-02-26 v4 Spectral Theory
Abstract
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.
Keywords
Cite
@article{arxiv.2007.14674,
title = {A factorization of a quadratic pencils of accretive operators and applications},
author = {F. Bouchelaghem and M. Benharrat},
journal= {arXiv preprint arXiv:2007.14674},
year = {2021}
}