13 citations · 18 across the 21 of their papers we have counts for
12 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…
Angles and Schauder basis in Hilbert spaces
Bingzhe Hou, Yang Cao, Geng Tian +1
Let be a complex separable Hilbert space. We prove that if is a Schauder basis of the Hilbert space , then the angles between…
Li-Yorke chaos translation set for linear operators
Bingzhe Hou, Lvlin Luo
In order to study Li-Yorke chaos by the scalar perturbation for a given bounded linear operator on Banach spaces , we introduce the Li-Yorke chaos translation set of , wh…
Schauder Bases and Operator Theory III: Schauder Spectrums
Yang Cao, Geng Tian, Bingzhe Hou
In this paper, we study spectrums of Schauder operators. We show that we always can choose a Schauder operator in a given orbit such that the Schauder spectrum of it is empty.