New extension of operator entropy in Hilbert spaces

In this paper, we use the definition of generalized relative operator entropy, which started by J.I. Fujii and E. Kamei [Math. Japonica 34 (1989), 341–348] and developed by Moslehian, Mirzapour and Morassaei [Coll. Math. 130(2) (2013), 159–168]. Then we investigate some .properties of the generalized relative operator entropy