A special case of the existential version of the Non Commutative Khintchine inequality

Satyaki Mukherjee

Here we prove the following result. Let $A=\{a_{ij}{\}}_{i,j\in \mathbb{N}}$ be a bounded operator. Then there exists a signing of $A$ such that $$||A\circ S||_2 < 2||A||_{l_\infty…