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math.FA2019
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…
math.FA2019
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…
math.FA2019
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…