Norm-parallelism of Hilbert space operators and the Davis-Wielandt Berezin number
Mohammad W. Alomari, Monire Hajmohamadi, Mojtaba Bakherad · Journal of Mathematical Inequalities · 2023
In this work, the concept of the Davis-Wielandt Berezin number is introduced. Some upper and lower bounds for the Davis-Wielandt Berezin number are introduced. A connection between norm-parallelism to the identity operator and an equality condition for the Davis-Wielandt Berezin number are also discussed. Some bounds for the Davis-Wielandt Berezin number for n n operator matrices are established.