Page 1

Displaying 1 – 2 of 2

Showing per page

Immanant Conversion on Symmetric Matrices

M. Purificação Coelho, M. Antónia Duffner, Alexander E. Guterman (2014)

Special Matrices

Letr Σn(C) denote the space of all n χ n symmetric matrices over the complex field C. The main objective of this paper is to prove that the maps Φ : Σn(C) -> Σn (C) satisfying for any fixed irre- ducible characters X, X' -SC the condition dx(A +aB) = dχ·(Φ(Α ) + αΦ(Β)) for all matrices A,В ε Σ„(С) and all scalars a ε C are automatically linear and bijective. As a corollary of the above result we characterize all such maps Φ acting on ΣИ(С).

Currently displaying 1 – 2 of 2

Page 1