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 |
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