Keywords = &lrm
Number of Articles: 1
Results on operator relationships and their ranges equality in \( C^* \)-modules
Volume 13, Issue 1, July 2026, Pages 47-56
https://doi.org/10.22072/wala.2026.2080618.1483
mahdi Ali-Akbari, Mehdi Mohammadzadeh Karizaki
Abstract In this paper, by employing the concept of operator ranges and their equality, and utilizing the invertibility of certain operators, we establish the equality of ranges of related operators in Hilbert
\(C^{*}\)-modules. The concept of operator ranges, combined with the invertibility of these operators, provides a tool for identifying and proving range equalities of related operators.