An operator-coefficients free Poincar\'e inequality
Operator Algebras
2023-01-23 v1
Authors:
Hyuga Ito
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.
Cite
@article{arxiv.2301.08476,
title = {An operator-coefficients free Poincar\'e inequality},
author = {Hyuga Ito},
journal= {arXiv preprint arXiv:2301.08476},
year = {2023}
}
Comments
4 pages; any comments are welcome
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