چكيده فارسي :
Let Mn be the algebra of all n £ n real matrices. A matrix
R 2 Mn with nonnegative entries is called row stochastic if Re = e, where
e = (1; : : : ; 1)t 2 Rn. For x; y 2 Rn, we say that x is upper triangular
majorized by y (write as x Áut y ) if there exists an upper triangular row
stochastic matrix R such that x = Ry. In this paper, after introducing the
relation Áut, the geometric interpretation of Áut on Rn is obtained and also
the structure of all linear functions T : R2 ! R2, preserving (or strongly
preserving) Áut are characterized.
