Dynamic of Time Varying Weighted Backward Shift Operator

2023/03/13 by Hou, Jing, Shu, Yonglu
#FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.2303.06882

Abstract

we study the hypercyclic and chaotic properties of the time varying weighted backward shift operator (Tx)(t)=w(t)x(t+a) in L_p(0,∞)(1≤ p<∞) and C₀[0,∞). And we also analyse the spectral structure of the operators if the spaces are complex.

Related

• Shift-like Operators on L^p(X)
• Dynamics of weighted shifts on ℓ^p-sums and c₀-sums
• On the spectrum of weighted shifts
• Linear dynamics of the adjoint of a unilateral weighted shift operator
• Hypercyclicity of weighted shifts on weighted Bergman spaces