Normal intermediate extensions of symmetric relations
Let S be a closed symmetric relation in a Hilbert space. If S is densely defined, then the normal extensions of S are selfadjoint. In general, normal nonselfadjoint intermediate extensions may not exist. Necessary and sufficient conditions for the existence of normal nonselfadjoint intermediate exte...
Elmentve itt :
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| Dokumentumtípus: | Cikk |
| Megjelent: |
Bolyai Institute, University of Szeged
Szeged
2014
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| Sorozat: | Acta scientiarum mathematicarum
80 No. 1-2 |
| Kulcsszavak: | Matematika |
| Tárgyszavak: | |
| mtmt: | http://dx.doi.org/10.14232/actasm-013-008-0 |
| Online Access: | http://acta.bibl.u-szeged.hu/34492 |
| Tartalmi kivonat: | Let S be a closed symmetric relation in a Hilbert space. If S is densely defined, then the normal extensions of S are selfadjoint. In general, normal nonselfadjoint intermediate extensions may not exist. Necessary and sufficient conditions for the existence of normal nonselfadjoint intermediate extensions are developed and all such extensions are parametrized. |
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| Terjedelem/Fizikai jellemzők: | 195-232 |
| ISSN: | 0001-6969 |