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- W2949528083 abstract "Let F be a linear unital map of a unital matrix algebra A over the complex numbers into the complex n by n matrices. Then F induces a linear unital map Fk of the k by k matrices over A into the complex nk by nk matrices by the action of F on each entry in the k by k matrices. If Fk preserves invertibility and k is greater than dim(alg(F(A)))-dim(F(A))+2 then F is a homomorphism modulo the Jacobson radical in alg(F(A)). The paper also contains some results related to the property L and some sufficient conditions for simultaneous triangularization of sets of matrices." @default.
- W2949528083 created "2019-06-27" @default.
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- W2949528083 date "1997-02-18" @default.
- W2949528083 modified "2023-09-27" @default.
- W2949528083 title "On invertibility preserving linear maps, simultaneous triangularization and Property L" @default.
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