Similarity of quotient Hilbert modules in the Cowen–Douglas class
Similarity of quotient Hilbert modules in the Cowen–Douglas class
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DOI：
10.1007/s40879-018-0297-y
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发表时间：
2018-10
影响因子：
0.6
通讯作者：
K. Ji;J. Sarkar
中科院分区：
文献类型：
--
作者：
K. Ji;J. Sarkar
We consider similarity and quasi-affinity problems for Hilbert modules in the Cowen–Douglas class associated with the complex geometric objects, the hermitian anti-holomorphic vector bundles and curvatures. Given a “simple” rank one Cowen–Douglas Hilbert module M M, we find necessary and sufficient conditions for a class of Cowen–Douglas Hilbert modules satisfying some positivity conditions to be similar to We also show that under certain uniform bound condition on the anti-holomorphic frame, a Cowen–Douglas Hilbert module is quasi-affinity to a submodule of the free module
