Congruence of Hardy submodules over the bidisk
In order to explore the submodules in the Hardy space over the bidisk, a new equivalence relation which is based on the core operator, namely congruence, was introduced in [8j. As we know, the structure of the submodules in H2 ( O2 ) is very complicated. So it is beneficial to study some good exampl...
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- 016- 550- y |
| Online Access: | http://acta.bibl.u-szeged.hu/48926 |
| Tartalmi kivonat: | In order to explore the submodules in the Hardy space over the bidisk, a new equivalence relation which is based on the core operator, namely congruence, was introduced in [8j. As we know, the structure of the submodules in H2 ( O2 ) is very complicated. So it is beneficial to study some good examples of submodules. This paper studies the congruence of the Hardy submodule over the bidisk. It will be shown that the congruence of two inner sequences based submodules can be totally described by the ratio of their inner sequences. |
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| Terjedelem/Fizikai jellemzők: | 215-221 |
| ISSN: | 0001 6969 |