J. Chan - Academia.edu (original) (raw)
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Papers by J. Chan
Journal of the Australian Mathematical Society, 2006
Let M n be the algebra of all n × n matrices over a field IF, where n ≥ 2. Let S be a subset of M... more Let M n be the algebra of all n × n matrices over a field IF, where n ≥ 2. Let S be a subset of M n containing all rank one idempotents. We study mappings φ : S → M n such that F (φ(A)φ(B)) = F (AB) for various families of functions F including all the unitary similarity invariant functions on real or complex matrices. Very often, these mappings have the form
Journal of the Australian Mathematical Society, 2006
Let M n be the algebra of all n × n matrices over a field IF, where n ≥ 2. Let S be a subset of M... more Let M n be the algebra of all n × n matrices over a field IF, where n ≥ 2. Let S be a subset of M n containing all rank one idempotents. We study mappings φ : S → M n such that F (φ(A)φ(B)) = F (AB) for various families of functions F including all the unitary similarity invariant functions on real or complex matrices. Very often, these mappings have the form