A reverse Riesz estimate plus the spectral gap 0∈ρ(A0) for an Abel-ergodic sectorial operator implies a Poincaré inequality with respect to the ergodic projection.
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A reverse Riesz estimate combined with a spectral gap implies a Poincar\'e inequality
A reverse Riesz estimate plus the spectral gap 0∈ρ(A0) for an Abel-ergodic sectorial operator implies a Poincaré inequality with respect to the ergodic projection.