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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 with scalar product given by a positive semidefinite Hermitian form, and of Hermitian f…
math.RT2017★ 3 cited
Symplectic spaces and pairs of symmetric and nonsingular skew-symmetric matrices under congruence
Victor A. Bovdi, Roger A. Horn, Mohamed A. Salim +1
Let be a field of characteristic not , and let be a pair of matrices over , in which is symmetric and is skew-symmetric. A can…