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linear map
(redirected from Linear mapping)

   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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Rassias, d-isometric linear mappings in linear d-normed Banacxh modules, J.
Chapters discuss duality, linear mappings, matrices, determinant and trace, spectral theory, Euclidean structure, calculus of vector- and matrix-valued functions, matrix inequalities, kinematics and dynamics, convexity, the duality theorem, normed liner spaces, linear mappings between normed linear spaces, positive matrices, and solutions of systems of linear equations.
Alternatively, in the polynomial systems theory [1], which has many features common with the classical transfer function technique, a ring formed from polynomials in the differentiation operator d/dt, interpreted as a linear mapping between signal spaces, has been used to define the transfer function.
 
 
 
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