R. Dumitru

activity

20062026

most citedUnitary representations of compact quantum groups

2 citations · 4 across the 12 of their papers we have counts for

collaborators

12 papers

math.FA2026

On The Linearization of Alternative Means

Raluca Dumitru, Jose Franco, Allan Merino

Alternative means have recently attracted considerable attention in matrix analysis and operator theory. In this paper, we investigate the linearization problem for alternative mea…

math.FA2026

Spectral Decomposition and Linearization of Kubo-Ando Means

Raluca Dumitru, Jose Franco, Allan Merino

In this paper, we study the structure of Kubo-Ando means on the cone of positive Hermitian matrices over the real numbers, complex numbers, and quaternions. Given a Kubo-Ando mean…

math.FA2019★ 1 cited

Some Geometric Properties of Matrix Means with respect to Different Distance Function

Trung Hoa Dinh, Raluca Dumitru, Jose A. Franco

In this paper we study the monotonicity, in-betweenness and in-sphere properties of matrix means with respect to Bures-Wasserstein, Hellinger and Log-Determinant metrics. More prec…

math.FA2018

New characterizations of operator monotone functions

Trung Hoa Dinh, Raluca Dumitru, Jose Franco

If $σ$ is a symmetric mean and $f$ is an operator monotone function on $[0, \infty)$ , then $f (2 (A^{- 1} + B^{- 1})^{- 1}) \leq f (A σ B) \leq f ((A + B) /2) .$ Conversely, Ando and Hiai showed th…

math.FA2017

On the monotonicity of weighted power means of matrices

Raluca Dumitru, Jose Franco

Let $μ_{p} (A, B, t) = (t A^{p} + (1 - t) B^{p})^{1/ p}$ denote the weighted power mean between positive operators $A$ and $B$ . We show that the function $t \to ∥ A - μ_{p} (A, B, t) ∥_{2}$ is monotonically d…

math.FA2013

On singular value inequalities for matrix means

R. Dumitru, R. Levanger, B. Visinescu

For positive semidefinite $n \times n$ matrices $A$ and $B$ , the singular value inequality $(2 + t) s_{j} (A^{r} B^{2 - r} + A^{2 - r} B^{r}) \leq 2 s_{j} (A^{2} + t A B + B^{2})$ is shown to hold for $…