Kennett L. Dela Rosa

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math.FA2026

Zero-trace index of matrices

Kennett L. Dela Rosa, Eloise P. Misa

The zero-trace index $t (A)$ of a square complex matrix $A$ is introduced. It is defined as the largest integer $k$ such that $A$ admits a $k \times k$ compression with trace zero.…

math.FA2026

A Family of Completely PPT Maps

Kennett L. Dela Rosa, Iana Angela C. Fajardo, Cedie B. Reyes

Given $α \in R$ and $B_{1}, \dots, B_{q} \in M_{m, n}$ , consider the map \[Φ^{\pm}_{α,\mathfrak{B}}(X)=α\mbox{tr}(X) I_m\pm \sum_{s=1}^qB_sXB_s^*\ \mbox{for all}\ X\in M_n.\] In t…