Michael Lin

works on

averaging operators 1 locally compact abelian groups 1 spectral mapping theorem 1 spectral theory 1 unitary representations 1

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math.DS2026

Operator ergodic theorems with MÃ¶bius "weights"

El Houcein El Abdalaoui, Michael Lin

Motivated by Sarnak's conjecture in topological dynamics for the MÃ¶bius function $I^¼$ , we study, for a power-bounded $T$ on a Banach space $E$ , the weak convergence $$ (*) \qquad…