2 citations · 5 across the 15 of their papers we have counts for
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A subclass of the Cowen-Douglas class and similarity
Kui Ji, Hyun-Kyoung Kwon, Jaydeb Sarkar +1
We consider a subclass of the Cowen-Douglas class in which the problem of deciding whether two operators are similar becomes more manageable. A similarity criterion for Cowen-Dougl…
Similarity Invariants of Essentially normal Cowen-Douglas Operators and Chern Polynomials
Chunlan Jiang, Kui Ji, Jinsong Wu
In this paper, we systematically study a class of essentially normal operators by using the geometry method from the Cowen-Douglas theory and prove a Brown-Douglas-Fillmore theorem…
Compact operators under Orlicz functions
Ma Zhenhua, Ji Kui, Li Yucheng
In this paper, the definition of noncommutative Orlicz sequence spaces is given, these spaces generalize the Schatten classes Sp(H). After some relations of trace and norm on this…
Cowen-Douglas operators and the third of Halmos' ten problems
Chunlan Jiang, Junsheng Fang, Kui Ji
Let be a bounded linear operator on a complex separable infinite dimensional Hilbert space . is called intransitive if it leaves invariant spaces other than 0…
-hypercontractivity and similarity of Cowen-Douglas operators
Kui Ji, Hyun-Kyoung Kwon, Jing Xu
When the backward shift operator on a weighted space is an -hypercontraction, we prove that t…
Geometric Similarity invariants of Cowen-Douglas Operators
Chunlan Jiang, Kui Ji, Dinesh Kumar Keshari
In 1978, M. J. Cowen and R.G. Douglas introduce a class of operators (known as Cowen-Douglas class of operators) and associates a Hermitian holomorphic vector bundle to such an ope…