تقرير
Geometry of holomorphic vector bundles and similarity of commuting operator tuples
| العنوان: | Geometry of holomorphic vector bundles and similarity of commuting operator tuples |
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| المؤلفون: | Hou, Yingli, Ji, Kui, Ji, Shanshan, Xu, Jing |
| سنة النشر: | 2018 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Functional Analysis |
| الوصف: | In this paper, a new criterion for the similarity of commuting tuples of operators on Hilbert spaces is introduced. As an application, we obtain a geometric similarity invariant of tuples in the Cowen-Douglas class which gives a partial answer to a question raised by R.G. Douglas about the similarity of quasi-free Hilbert modules. Moreover, a new subclass of commuting tuples of Cowen-Douglas class is obtained. Comment: 29pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/1801.01680 |
| رقم الأكسشن: | edsarx.1801.01680 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |