Maps Preserving Norms of Generalized Weighted Quasi-arithmetic Means of Invertible Positive Operators

摘要: In this paper, the problem of describing structure transformations leaving norms generalized weighted quasi-arithmetic means invertible positive operators invariant is discussed. a former result authors, was solved for means, and here corresponding by establishing its solution under certain mild conditions. It proved that in quite general setting, on self-adjoint are not monotone their variables which an interesting property. Moreover, relation these with Kubo-Ando investigated it shown common members classes types arithmetic means.