Mathematics
In mathematical analysis, Kantorovich had important results in functional analysis, approximation theory, and operator theory.
In particular, Kantorovich formulated fundamental results in the theory of normed vector lattices, which are called "K-spaces" in his honor.
Kantorovich showed that functional analysis could be used in the analysis of iterative methods, obtaining the Kantorovich inequalities on the convergence rate of the gradient method and of Newton's method.
Kantorovich considered infinite-dimensional optimization problems, such as the Kantorovich-Monge problem in transportation theory. His analysis proposed the Kantorovich metric, which is used in probability theory, in the theory of the weak convergence of probability measures.
Read more about this topic: Leonid Kantorovich
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