Let A and B be n × m matrices. The matrix B is said to be g-row majorized (respectively g-column majorized) by A, if every row (respectively column) of B, is g-majorized by the corresponding row (respectively column) of A. In this paper all kinds of g-majorization are studied on Mn,m, and the possible structure of their linear preservers will be found. Also all linear operators T : Mn,m ---> Mn,m preserving (or strongly preserving) g-row or g-column majorization will be characterized.
Armandnejad, A., Mohammadi, Z. & Akbarzadeh, F. (2013). Linear preservers of g-row and g-column majorization on
M_{n,m}. Bulletin of the Iranian Mathematical Society, 39(5), 865–880.
MLA
Armandnejad, A., Mohammadi, Z., & Akbarzadeh, F. "Linear preservers of g-row and g-column majorization on
M_{n,m}", Bulletin of the Iranian Mathematical Society, 39, 5, 2013, 865–880.
HARVARD
Armandnejad, A., Mohammadi, Z., & Akbarzadeh, F. (2013). 'Linear preservers of g-row and g-column majorization on
M_{n,m}', Bulletin of the Iranian Mathematical Society, 39(5), pp. 865–880.
CHICAGO
Armandnejad, A., Mohammadi, Z. & Akbarzadeh, F., "Linear preservers of g-row and g-column majorization on
M_{n,m}." Bulletin of the Iranian Mathematical Society, 39 5 (2013): 865–880,
VANCOUVER
Armandnejad A., Mohammadi Z., Akbarzadeh F. Linear preservers of g-row and g-column majorization on
M_{n,m}. BIMS. 2013;39(5):865–880.
