VON NEUMANN-TYPE INEQUALITY FOR COMPLETELY ORTHOGONALLY DECOMPOSABLE TENSORS

This paper presents some generalizations of Von Neumann's trace inequality for matrices to the contents of completely orthogonally decomposable tensors. The angle between two completely orthogonally decomposable (symmetrical) tensors is defined and taken into account in the Von Neumann-type inequality. Moreover, the properties of spectral functions in the case of completely orthogonally decomposable asymmetrical and symmetrical tensors are studied, respectively.