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Immanant Conversion on Symmetric Matrices

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Purificação Coelho M., Duffner M. A., Guterman A. E.

Special Matrices

2014

tom 2

nr 1

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).

Ograniczanie wyników

1 Special Matrices

1 Duffner M. A.

1 Guterman A. E.

1 Purificação Coelho M.

1 2014

Wyniki wyszukiwania

Immanant Conversion on Symmetric Matrices