Department of Computer Engineering, University of Torbat Heydarieh, Torbat Heydarieh, Iran
10.22072/wala.2026.2080618.1483
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.
Ali-Akbari,M and Mohammadzadeh Karizaki,M . (2026). Results on operator relationships and their ranges equality in \( C^* \)-modules. (e737858). Wavelet and Linear Algebra, 13(1), e737858 doi: 10.22072/wala.2026.2080618.1483
MLA
Ali-Akbari,M , and Mohammadzadeh Karizaki,M . "Results on operator relationships and their ranges equality in \( C^* \)-modules" .e737858 , Wavelet and Linear Algebra, 13, 1, 2026, e737858. doi: 10.22072/wala.2026.2080618.1483
HARVARD
Ali-Akbari M, Mohammadzadeh Karizaki M. (2026). 'Results on operator relationships and their ranges equality in \( C^* \)-modules', Wavelet and Linear Algebra, 13(1), e737858. doi: 10.22072/wala.2026.2080618.1483
CHICAGO
M Ali-Akbari and M Mohammadzadeh Karizaki, "Results on operator relationships and their ranges equality in \( C^* \)-modules," Wavelet and Linear Algebra, 13 1 (2026): e737858, doi: 10.22072/wala.2026.2080618.1483
VANCOUVER
Ali-Akbari M, Mohammadzadeh Karizaki M. Results on operator relationships and their ranges equality in \( C^* \)-modules. WALA. 2026;13(1):e737858. doi: 10.22072/wala.2026.2080618.1483
