3 papers
math.FA2025
The numerical radius of fractional powers of matrices
Eman Aldabbas, Mohammad Sababheh
Using integral representations of the fractional power of matrices, and the geometric intuition of sectorial matrices, we show that for any accretive-dissipative matrix and any…
math.FA2025
The Resolvent Mean and The Parametrized
Alemeh Sheikhhosseini, Eman Aldabbas, Mohammad Sababheh
Resolvent average and weighted \(\mathcal{A}\sharp \mathcal{H}\)-mean have been defined recently for positive definite matrices. Since the class of accretive matrices provides a ge…
math.FA2025
Accretive Partial Transpose Matrices and Their Connections to Matrix Means
Eman Aldabbas, Mohammad Sababheh
Accretive partial transpose (APT) matrices have been recently defined, as a natural extension of positive partial transpose (PPT) matrices. In this paper, we discuss further proper…