D. Stojanoff

activity

19992008

most citedJensen's Inequality and majorization

7 citations · 7 across the 8 of their papers we have counts for

collaborators

Showing 2007Show all

2 papers · 1 filter

math.FA2007

The iterated Aluthge transforms of a matrix converge

Jorge Antezana, Enrique R. Pujals, Demetrio Stojanoff

Given an $r \times r$ complex matrix $T$ , if $T = U ∣ T ∣$ is the polar decomposition of $T$ , then, the Aluthge transform is defined by $Δ (T) = ∣ T ∣^{1/2} U ∣ T ∣^{1/2} .$ Let $Δ^{n} (T)$ …

math.FA2007

Convergence of iterated Aluthge transform sequence for diagonalizable matrices II: $λ$ -Aluthge transform

Jorge Antezana, Enrique Pujals, Demetrio Stojanoff

Let $λ \in (0, 1)$ and let $T$ be a $r \times r$ complex matrix with polar decomposition $T = U ∣ T ∣$ . Then, the $\la$- Aluthge transform is defined by $Δ_{λ} (T) = ∣ T ∣^{λ} U ∣ T ∣^{1 - λ} .$ …

The iterated Aluthge transforms of a matrix converge

Convergence of iterated Aluthge transform sequence for diagonalizable matrices II: λ-Aluthge transform

Convergence of iterated Aluthge transform sequence for diagonalizable matrices II: $λ$ -Aluthge transform