Generalized core-EP inverse for triangular operator matrices
preprint
OA: closed
CC-BY-4.0
AI-generated summary
This paper introduces and investigates the generalized core-EP inverse for triangular operator matrices, providing methods for its computation and characterization.
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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.
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Source provenance
- europepmc
- last seen: 2026-05-20T01:45:00.602351+00:00
- unpaywall
- last seen: 2026-05-29T02:00:03.542394+00:00
License: CC-BY-4.0