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linear map
(redirected from Linear operators)

   Also found in: Wikipedia 0.01 sec.
(mathematics)linear map - (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).


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9781604564945 Non-Archimedean linear operators and applications.
Now if A and B are densely defined linear operators and A [subset] B, then it is not difficult to verify that [B.
Let L(H) be the real vector space of all bounded self-adjoint linear operators on H, interpreted as the (bounded) observables of the system.
 
 
 
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