Reducibility of MuCφ on L2(Σ)
In this note we study reducing subspaces for weighted composition operators defined on L2 (£). Some necessary and sufficient conditions are given for such operators to have two types of reducing subspaces of the forms L2 (EA) and L2 {A). This is basically discussed by using conditional expectation p...
Elmentve itt :
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| Dokumentumtípus: | Cikk |
| Megjelent: |
Bolyai Institute, University of Szeged
Szeged
2017
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| Sorozat: | Acta scientiarum mathematicarum
83 No. 1-2 |
| Kulcsszavak: | Matematika |
| Tárgyszavak: | |
| doi: | 10.14232/actasm-015-825-0 |
| Online Access: | http://acta.bibl.u-szeged.hu/48931 |
| Tartalmi kivonat: | In this note we study reducing subspaces for weighted composition operators defined on L2 (£). Some necessary and sufficient conditions are given for such operators to have two types of reducing subspaces of the forms L2 (EA) and L2 {A). This is basically discussed by using conditional expectation properties. |
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| Terjedelem/Fizikai jellemzők: | 291-299 |
| ISSN: | 0001 6969 |