$A$-spectral permanence property for $C^{\ast }$-algebras

Mohamed Mabrouk, Ali Zamani

For a positive element $A$ of a $C^{\ast }$-algebra $\mathfrak{A}$, let ${\Vert X\Vert }_A$ denote the $A$-operator semi-norm of $X\in \mathfrak{A}$. In this paper, we aim to introduce and stud…