Subspace-dynamics of translations on locally compact groups

In this paper, we study the subspace-dynamics of the operator R g;v(f) := EA(vf * δg) on Lp(B), ۱ ≤ p < ∞. For an aperiodic element g ϵ G, we give the necessary and sufficient conditions on which R g;v is subspace-hypercyclic for Lp(A) and Lp(AD). The subspace-mixing of R g;v is also studied.

کلیدواژه ها:

Subspace-hypercyclic ، Orbit ، Locally compact group ، Convolution ، Weighted translation ، Conditional expectation