Research Article
Year 2026,
Issue: Advanced Online Publication, 1 - 23
Abstract
References
- [1] R. Behera, G. Maharana, J.K. Sahoo, Further results on weighted core-EP inverse of matrices, Results Math. 75, 174, 2020.
Year 2026,
Issue: Advanced Online Publication, 1 - 23
Abstract
The main goal is extending the concept of the core–EP orthogonality to the m-weak
group orthogonality for bounded linear Drazin invertible Hilbert space operators, using
the m-weak group inverse. Different properties and characterizations of m-weak group
orthogonal operators are proved as well as their operator matrix forms. The connection
between the m-weak group binary relation and the m-weak group orthogonality is
given. We also study additive properties for the m-weak group inverse. Consequently,
we study the weak group orthogonality for operators.
References
- [1] R. Behera, G. Maharana, J.K. Sahoo, Further results on weighted core-EP inverse of matrices, Results Math. 75, 174, 2020.
There are 1 citations in total.
Details
| Primary Language | English |
|---|---|
| Subjects | Operator Algebras and Functional Analysis |
| Journal Section | Research Article |
| Authors | |
| Submission Date | January 7, 2025 |
| Acceptance Date | May 10, 2025 |
| Early Pub Date | June 24, 2025 |
| Published in Issue | Year 2026 Issue: Advanced Online Publication |