4 papers
Linear maps preserving the Cullis' determinant. II
Alexander Guterman, Andrey Yurkov
This paper is the second in the series of papers devoted to the explicit description of linear maps preserving the Cullis' determinant of rectangular matrices with entries belongin…
On the Theorem of Gauss--Lucas for quaternions
I. Emizh, A. Guterman
It is proved that the roots of the derivative of a polynomial with quaternionic coefficients belong to the union of the intersections of sets defined in terms of certain projection…
Linear varieties and matroids with applications to the Cullis' determinant
Alexander Guterman, Andrey Yurkov
Let be a vector space of rectangular matrices annihilating the Cullis' determinant. We show that , extending Dieudonn{é}'s result on the dimens…
Linear maps preserving the Cullis' determinant. I
Alexander Guterman, Andrey Yurkov
This paper is the first in the series of papers devoted to the explicit description of linear maps preserving the Cullis' determinant of rectangular matrices with entries belonging…