Article
Version 1
This version is not peer-reviewed
Generalized core-EP inverse for triangular operator matrices
Version 1
: Received: 1 August 2024 / Approved: 2 August 2024 / Online: 4 August 2024 (23:35:06 CEST)
How to cite: Chen, H. Generalized core-EP inverse for triangular operator matrices. Preprints 2024, 2024080216. https://doi.org/10.20944/preprints202408.0216.v1 Chen, H. Generalized core-EP inverse for triangular operator matrices. Preprints 2024, 2024080216. https://doi.org/10.20944/preprints202408.0216.v1
Abstract
We investigate the existence and representation of the generalized core-EP inverse of some triangular matrices over a Banach algebra. Further, the general representations of the generalized core-EP inverse of a triangular matrix over a $C^*$-algebra are presented. As applications, the generalized core-EP inverses of some block operator matrices over Hilbert spaces are given.
Keywords
core inverse; core-EP inverse; generalized core-EP inverse; triangular matrix; Block operator matrix; Banach algebra.
Subject
Computer Science and Mathematics, Algebra and Number Theory
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Comments (0)
We encourage comments and feedback from a broad range of readers. See criteria for comments and our Diversity statement.
Leave a public commentSend a private comment to the author(s)
* All users must log in before leaving a comment