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arXiv · 2007.14674

A factorization of a quadratic pencils of accretive operators and applications

F. Bouchelaghem·M. Benharrat
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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.

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F. Bouchelaghem, M. Benharrat. 2020-07-29. A factorization of a quadratic pencils of accretive operators and applications. https://arxiv.org/abs/2007.14674

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