28 citations · 45 across the 5 of their papers we have counts for
5 papers
Tame systems of linear and semilinear mappings
Tatiana Klimchuk, Dmitry Kovalenko, Tetiana Rybalkina +1
We study systems of linear and semilinear mappings considering them as representations of a directed graph with full and dashed arrows: a representation of is given by assi…
Consimilarity and quaternion matrix equations ,
Tatiana Klimchuk, Vladimir V. Sergeichuk
L.Huang [Linear Algebra Appl. 331 (2001) 21-30] gave a canonical form of a quaternion matrix with respect to consimilarity transformations in which is a…
Cycles of linear and semilinear mappings
Debora Duarte de Oliveira, Vyacheslav Futorny, Tatiana Klimchuk +2
We give a canonical form of matrices of a cycle of linear or semilinear mapping V_1 --- V_2 --- ... --- V_t --- V_1 in which all V_i are complex vector spaces, each line is an arro…
Systems of subspaces of a unitary space
Vitalij M. Bondarenko, Vyacheslav Futorny, Tatiana Klimchuk +2
For a given poset, we consider its representations by systems of subspaces of a unitary space ordered by inclusion. We classify such systems for all posets for which an explicit cl…
Remarks on the classification of a pair of commuting semilinear operators
Debora Duarte de Oliveira, Roger A. Horn, Tatiana Klimchuk +1
Gelfand and Ponomarev [Functional Anal. Appl. 3 (1969) 325-326] proved that the problem of classifying pairs of commuting linear operators contains the problem of classifying k-tup…