An operator extension of Bohr's inequality

M. S. Moslehian, J. Pecaric, I. Peric

We establish an operator extension of the following generalization of Bohr's inequality, due to M.P. Vasić and D.J. Kečkić: $$|\sum_{i=1}^n z_i|^r \leq (\sum_{i=1}^n α_i^{1/(1-r)})…