An operator-coefficients free Poincar\'e inequality
Abstract
We prove the following operator-coefficients free Poincar\'e inequality: |f(X)-E[f(X)]|2≤2|X|2\|∂X:B[f(X)]\|π, f(X) ∈ dom(∂X:B), where \|·\|π is the projective tensor norm.
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