Relative operator entropy properties related to some weighted metrics

oleh: Mohamed Chergui, Abdenbi El Hilali

Format: Article
Diterbitkan: Western Libraries 2024-01-01

Deskripsi

In recent decades, intensive research has been devoted to the study of various operator entropies.  In this work, we investigate the properties of the parameterized relative operator entropy Sp(A | B) acting on positive definite matrices with respect to weighted Hellinger and Alpha Procrustes distances. In particular, we investigate  estimation of the distance between the entropy Sp(A | B) and certain standard means.