4 citations · 11 across the 8 of their papers we have counts for
8 papers
Operators on positive semidefinite inner product spaces
Victor A. Bovdi, Tetiana Klymchuk, Tetiana Rybalkina +2
We give canonical forms of selfadjoint and isometric operators on a complex vector space with scalar product given by a positive semidefinite Hermitian form, and of Hermitian f…
Topological classification of systems of bilinear and sesquilinear forms
Carlos M. da Fonseca, Vyacheslav Futorny, Tetiana Rybalkina +1
Let and be two systems consisting of the same vector spaces and bilinear or sesquilinear forms $A_i,B_i:\mathbb C^{n_{k(i)…
Topological classification of sesquilinear forms: reduction to the nonsingular case
Carlos M. da Fonseca, Tetiana Rybalkina, Vladimir V. Sergeichuk
Two sesquilinear forms and are called topologically equivalent if there exists a homeomo…
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…
Regularizing decompositions for matrix pencils and a topological classification of pairs of linear mappings
Vyacheslav Futorny, Tetiana Rybalkina, Vladimir V. Sergeichuk
We give a method for constructing a regularizing decomposition of a matrix pencil, which is formulated in terms of the linear mappings. We prove that two pencils are topologically…
Topological classification of oriented cycles of linear mappings
Tetiana Rybalkina, Vladimir V. Sergeichuk
We consider the problem of classifying oriented cycles of linear mappings over a field of complex or real numbers up to homeomorphisms in the…
Topological classification of Mobius transformations
Tetiana Rybalkina, Vladimir V. Sergeichuk
Linear fractional transformations on the extended complex plane are classified up to topological conjugacy. Recall that two transformations f and g are called topologically conjuga…
Topological classification of chains of linear mappings
Tetiana Rybalkina, Vladimir V. Sergeichuk
We prove that two chains of linear mappings are topologically isomorphic if and only if they are linearly isomorphic.