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Sharp Operator Khintchine inequality and $Z_2$ Property
We study the $p=1$ operator Khintchine inequality associated with orthonormal systems and establish two quantitative implications relating its optimal constant $A_1$ to the $Z_2$ property. For an orthonormal system $W$ with finite $Z_2(W)$, we prove $A_1(W)\leq\sqrt{1+Z_2(W)}$. Conversely, there exi
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