Noun
functional analysis (uncountable)
(mathematics) The branch of mathematics dealing with infinite-dimensional vector spaces, whose elements are actually functions, as well as generalizations such as Banach spaces and Hilbert spaces.
An important object of study in functional analysis are the continuous linear operators defined on Banach and Hilbert spaces. Source: Internet
Among Rolf Nevanlinna's later interests in mathematics were the theory of Riemann surfaces (the monograph Uniformisierung in 1953) and functional analysis (Absolute analysis in 1959, written in collaboration with his brother Frithiof). Source: Internet
Banach spaces play a central role in functional analysis. Source: Internet
Following Kolmogorov's work in the 1950s, advanced statistics uses approximation theory and functional analysis to quantify the error of approximation. Source: Internet
From basic functional analysis we know that any ket can also be written as : with the inner product on the Hilbert space. Source: Internet
Examples of analysis without a metric include measure theory (which describes size rather than distance) and functional analysis (which studies topological vector spaces that need not have any sense of distance). Source: Internet