Linear Operators Which Preserve Pairs on Which the Rank Is Additive
نویسنده
چکیده
Let A and B be m n matrices. A linear operator T preserves the set of matrices on which the rank is additive if rank(A + B) = rank(A) + rank(B) implies that rank(T (A) + T(B)) = rankT (A) + rankT (B). We characterize the set of all linear operators which preserve the set of pairs of n n matrices on which the rank is additive.
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تاریخ انتشار 2007