ALGEBRAIC PROOFS OF CHARACTERIZING REVERSE ORDER LAW FOR CLOSED RANGE OPERATORS IN HILBERT SPACES
| dc.contributor.author | Athira, S.K. | |
| dc.contributor.author | Kamaraj, K. | |
| dc.contributor.author | Johnson, P.S. | |
| dc.date.accessioned | 2026-02-04T12:27:04Z | |
| dc.date.issued | 2023 | |
| dc.description.abstract | We present more than 60 results, including some range inclusion results to characterize the reverse order law for the Moore-Penrose inverse of closed range Hilbert space operators. We use the basic properties of the Moore-Penrose inverse to prove the results. Some examples are also provided to illustrate failure cases of the reverse order law in an infinite-dimensional setting. © (2023). All Rights Reserved. | |
| dc.identifier.citation | Eurasian Mathematical Journal, 2023, 14, 3, pp. 8-25 | |
| dc.identifier.issn | 20779879 | |
| dc.identifier.uri | https://doi.org/10.32523/2077-9879-2023-14-3-08-25 | |
| dc.identifier.uri | https://idr.nitk.ac.in/handle/123456789/22098 | |
| dc.publisher | L.N. Gumilyov Eurasian National University | |
| dc.subject | closed range operator | |
| dc.subject | Moore-Penrose inverse | |
| dc.subject | reverse order law | |
| dc.title | ALGEBRAIC PROOFS OF CHARACTERIZING REVERSE ORDER LAW FOR CLOSED RANGE OPERATORS IN HILBERT SPACES |