Selfadjoint operators and symmetric operators
Our study is in the set S(H) of all semiclosed operators in a Hilbert space H. We show that the set Ssa{H) of all selfadjoint operators is relatively open in the set Ssym{H) of all semiclosed symmetric operators. We calculate the value of a radius of minus-Laplacian —A. As a topological approach, we...
Elmentve itt :
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| Dokumentumtípus: | Cikk |
| Megjelent: |
Bolyai Institute, University of Szeged
Szeged
2016
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| Sorozat: | Acta scientiarum mathematicarum
82 No. 3-4 |
| Kulcsszavak: | Önadjungált operátor, De Branges tér, féligzárt szimmetrikus operátorok, Matematika |
| Tárgyszavak: | |
| doi: | 10.14232/actasm-015-044-4 |
| Online Access: | http://acta.bibl.u-szeged.hu/46325 |
| Tartalmi kivonat: | Our study is in the set S(H) of all semiclosed operators in a Hilbert space H. We show that the set Ssa{H) of all selfadjoint operators is relatively open in the set Ssym{H) of all semiclosed symmetric operators. We calculate the value of a radius of minus-Laplacian —A. As a topological approach, we show the selfadjointness of the Schrodinger operator with a Kato-Rellich potential. |
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| Terjedelem/Fizikai jellemzők: | 529-543 |
| ISBN: | 0001-6969 |