Norm-parallelism and the Davis–Wielandt radius of Hilbert space operators
Ali Reza Zamani, Mohammad Sal Moslehian, Mao-Ting Chien, Hiroshi Nakazato · Linear and Multilinear Algebra · 2018
We present a necessary and sufficient condition for the norm-parallelism of bounded linear operators on a Hilbert space. We also give a characterization of the Birkhoff–James orthogonality for Hilbert space operators. Moreover, we discuss the connection between norm-parallelism to the identity operator and an equality condition for the Davis–Wielandt radius. Some other related results are also discussed.