linear map

(redirected from Bijective linear map)
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linear map

(mathematics)
(Or "linear transformation") A function from a vector space to a vector space which respects the additive and multiplicative structures of the two: that is, for any two vectors, u, v, in the source vector space and any scalar, k, in the field over which it is a vector space, a linear map f satisfies f(u+kv) = f(u) + kf(v).
References in periodicals archive ?
Let T: C(X) [right arrow] C(Y) be a continuous, bijective linear map such that Te never vanishes.
Let T: C(X) [right arrow] C(Y) be a continuous bijective linear map such that Te never vanishes.