In this paper we consider three operations on positive definite cones of C⁎-algebras which
are related to weighted geometric means and appear in the formulas defining various …

In this paper we deal with the question of when the norm of a Kubo–Ando mean σ
determines the order on the positive definite cone of an operator algebra. More precisely, we …

We prove that any bijective map between the positive definite cones of von Neumann
algebras which preserves a certain unitarily invariant norm of a particular weighted …

Maps on Hilbert space effect algebras preserving norms of operator means Page 1 Acta
Scientiarum Mathematicarum 84:1–2 (2018) c Bolyai Institute, University of Szeged doi …

In this paper, we determine the general form of transformations on positive operators
preserving ap-norm of a power mean with positive exponent. The corresponding theorems …

We show that bisymmetry, which is an algebraic property, has a regularity improving feature.
More precisely, we prove that every bisymmetric, partially strictly monotonic, reflexive and …

In this paper, we mainly discuss the problem of describing the structure of transformations
leaving norms of generalized weighted quasi-arithmetic means of invertible positive …

We study bijective transformations ϕ of the set of positive operators on a Hilbert space such
that given a Kubo-Ando mean σ with certain properties,‖ A σ B‖=‖ ϕ (A) σ ϕ (B)‖ holds …

In this paper, we consider the norms related to spectral geometric means and geometric
means. When A and B are positive and invertible, we have|| A-1# B||≤|| A-1σsB||. Let H be a …

Let σ σ be a non-trivial operator mean in the sense of Kubo and Ando, and let OM_+^ 1 OM+
1 be the set of normalized positive operator monotone functions on (0, ∞)(0,∞). In this …