Inequalities of generalized Euclidean Berezin number


Fengsheng Chien, Eman F Mohommed, Monire Hajmohamadi, Rahmatollah Lashkaripour




In this paper, we present several Berezin number inequalities involving extensions of Euclidean Berezin number for n operators. Among other inequalities for (T1, . . . ,Tn) ∈ B(H) we show that ber pp (T1, . . .,Tn) ≤ 1/2p ber n∑ i=1 (|Ti| + |T∗i |)p , where p > 1.