T. Rybalkina

collaborators

2 papers

math.RT2020

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 $U$ with scalar product given by a positive semidefinite Hermitian form, and of Hermitian f…

math.RT2016

Topological classification of sesquilinear forms: reduction to the nonsingular case

Carlos M. da Fonseca, Tetiana Rybalkina, Vladimir V. Sergeichuk

Two sesquilinear forms $Φ : C^{m} \times C^{m} \to C$ and $Ψ : C^{n} \times C^{n} \to C$ are called topologically equivalent if there exists a homeomo…