PreprintarXiv licencearXiv
The generalized core-EP inverse of operator matrices with generalized Schur complements
Abstract
In this paper, we investigate the generalized core-EP inverse of block operator matrices over a Banach algebra. As a result, novel representations and explicit formulae for the core and core-EP inverses of the 2× 2 block operator matrices are established.
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BibTeX
@misc{chen2026generalized,
title = {{The generalized core-EP inverse of operator matrices with generalized Schur complements}},
author = {Huanyin Chen},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.40670},
eprint = {2610.40670},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.40670},
}
RIS
TY - UNPB
TI - The generalized core-EP inverse of operator matrices with generalized Schur complements
AU - Huanyin Chen
PY - 2026
DA - 2026/10/16
PB - arXiv
DO - 10.48550/arxiv.2610.40670
UR - https://arxiv.org/abs/2610.40670
AB - In this paper, we investigate the generalized core-EP inverse of block operator matrices over a Banach algebra. As a result, novel representations and explicit formulae for the core and core-EP inverses of the 2× 2 block operator matrices are established.
ER -