Spectral representation of local symmetric semigroups of operators over topological groups
We consider local symmetric semigroups of Hilbert space operators. For an open semigroup & in some topological group and a dense subsemigroup 6' of 6, these are semigroups of unbounded selfadjoint operators (ii(i))t e s' that admit local continuous extensions to open subsets of 6. We s...
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| Dokumentumtípus: | Cikk |
| Megjelent: |
Bolyai Institute, University of Szeged
Szeged
2012
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| Sorozat: | Acta scientiarum mathematicarum
78 No. 1-2 |
| Kulcsszavak: | Matematika, Operátorelmélet |
| Tárgyszavak: | |
| Online Access: | http://acta.bibl.u-szeged.hu/16434 |
| LEADER | 01480nab a2200217 i 4500 | ||
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| 005 | 20260306155435.0 | ||
| 008 | 161015s2012 hu o 000 eng d | ||
| 022 | |a 0001-6969 | ||
| 040 | |a SZTE Egyetemi Kiadványok Repozitórium |b hun | ||
| 041 | |a eng | ||
| 100 | 1 | |a Viselter Ami | |
| 245 | 1 | 0 | |a Spectral representation of local symmetric semigroups of operators over topological groups |h [elektronikus dokumentum] / |c Viselter Ami |
| 260 | |a Bolyai Institute, University of Szeged |b Szeged |c 2012 | ||
| 300 | |a 291-314 | ||
| 490 | 0 | |a Acta scientiarum mathematicarum |v 78 No. 1-2 | |
| 520 | 3 | |a We consider local symmetric semigroups of Hilbert space operators. For an open semigroup & in some topological group and a dense subsemigroup 6' of 6, these are semigroups of unbounded selfadjoint operators (ii(i))t e s' that admit local continuous extensions to open subsets of 6. We study the possibility to continuously extend H(-) to a semigroup of selfadjoint operators defined for all t G 6 in several settings. Integral representation formulae for the extended semigroups (H(t))teQ by means of real characters of 6 are established. Our proofs rely on graph limits of selfadjoint operators, commutativity of unbounded operators and semigroup techniques, among others. | |
| 650 | 4 | |a Természettudományok | |
| 650 | 4 | |a Matematika | |
| 695 | |a Matematika, Operátorelmélet | ||
| 856 | 4 | 0 | |u http://acta.bibl.u-szeged.hu/16434/1/math_078_numb_001_002_291-314.pdf |z Dokumentum-elérés |