44 citations · 91 across the 21 of their papers we have counts for
11 papers · 1 filter
A new version of the Gelfand-Hille theorem
Junsheng Fang, Bingzhe Hou, Chunlan Jiang
Let be a complex Banach space and with . We prove that for a vector , if as…
Composition operators on weighted Hardy spaces of polynomial growth
Bingzhe Hou, Chunlan Jiang
In the present paper, we study the composition operators acting on weighted Hardy spaces of polynomial growth, which are concerned with norms, spectra and (semi-)Fredholmness. Firs…
Analytic automorphism group and similar representation of analytic functions
Bingzhe Hou, Chunlan Jiang
In geometry group theory, one of the milestones is M. Gromov's polynomial growth theorem: Finitely generated groups have polynomial growth if and only if they are virtually nilpote…
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…
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…
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…