Dynamic of Time Varying Weighted Backward Shift Operator

Abstract

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

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