J. Chan - Academia.edu (original) (raw)

Uploads

Papers by J. Chan

Research paper thumbnail of Mappings on matrices: invariance of functional values of matrix products

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

Research paper thumbnail of Mappings on matrices: invariance of functional values of matrix products

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

Log In