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linear_operator
has definitions from the field of mathematics
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[ noun ] (mathematics) an operator that obeys the distributive law: A(f+g) = Af + Ag (where f and g are function)
Used in print (Kenneth Hoffman and Ray Kunze, Linear Al...)We are trying to study a linear_operator T on the finite dimensional space V , by decomposing T into a direct_sum of operators which are in some sense elementary . Let T be a linear_operator on the finite dimensional vector space V over the field F . If * * f are the projections associated with the primary decomposition of T , then each * * f is a polynomial in T , and accordingly if a linear_operator U commutes with T then U commutes with each of the * * f i.e. , each subspace * * f is invariant under U . Let N be a linear_operator on the vector space V . Let T be a linear_operator on the finite dimensional vector space V over the field F . Related terms |
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