Sub-direct sum of operators on Hilbert spaces and nonnegative Moore-Penrose inverses
The sub-direct sum, a generalization of normal sum operation for matrices was introduced by Fallat and Johnson [5]. Here, the definition of sub-direct sum is extended to operators between Hilbert spaces. Conditions for the sub-direct sum to have a nonnegative Moore-Penrose inverse are obtained when...
Elmentve itt :
| Szerzők: | |
|---|---|
| Dokumentumtípus: | Cikk |
| Megjelent: |
Bolyai Institute, University of Szeged
Szeged
2015
|
| Sorozat: | Acta scientiarum mathematicarum
81 No. 1-2 |
| Kulcsszavak: | Matematika |
| Tárgyszavak: | |
| mtmt: | http://dx.doi.org/10.14232/actasm-013-307-8 |
| Online Access: | http://acta.bibl.u-szeged.hu/35203 |
| Tartalmi kivonat: | The sub-direct sum, a generalization of normal sum operation for matrices was introduced by Fallat and Johnson [5]. Here, the definition of sub-direct sum is extended to operators between Hilbert spaces. Conditions for the sub-direct sum to have a nonnegative Moore-Penrose inverse are obtained when the summands themselves have nonnegative Moore-Penrose inverses. The converse problem is also considered. |
|---|---|
| Terjedelem/Fizikai jellemzők: | 215-240 |
| ISSN: | 0001-6969 |