I tiakina i:
| Ngā kaituhi matua: | , |
|---|---|
| Hōputu: | Preprint |
| I whakaputaina: |
2020
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| Ngā marau: | |
| Urunga tuihono: | https://arxiv.org/abs/2002.09167 |
| Ngā Tūtohu: |
Tāpirihia he Tūtohu
Kāore He Tūtohu, Me noho koe te mea tuatahi ki te tūtohu i tēnei pūkete!
|
Rārangi ihirangi:
- In this article, we prove the existence of a non-trivial hyperinvariant subspace for a subclass of compact perturbations of scalar multiple of a partial isometry. Later, we illustrate that this class contains several important classes of operators. As a consequence, we prove that a Schatten class perturbation of a partial isometry with finite-dimensional null space has a non-trivial hyperinvariant subspace.