normed functional
71Metric (mathematics) — In mathematics, a metric or distance function is a function which defines a distance between elements of a set. A set with a metric is called a metric space. A metric induces a topology on a set but not all topologies can be generated by a metric …
72Barrelled space — In functional analysis and related areas of mathematics barrelled spaces are topological vector spaces where every barrelled set in the space is a neighbourhood for the zero vector. A barrelled set or a barrel in a topological vector space is a… …
73List of mathematics articles (N) — NOTOC N N body problem N category N category number N connected space N dimensional sequential move puzzles N dimensional space N huge cardinal N jet N Mahlo cardinal N monoid N player game N set N skeleton N sphere N! conjecture Nabla symbol… …
74Choquet theory — In mathematics, Choquet theory is an area of functional analysis and convex analysis created by Gustave Choquet. It is concerned with measures with support on the extreme points of a convex set C. Roughly speaking, all vectors of C should appear… …
75Mazur–Ulam theorem — In mathematics, the Mazur–Ulam theorem states that if V and W are normed spaces over R and the mapping is a surjective isometry, then f is affine. References Richard J. Fleming; James E. Jamison (2003). Isometries on Banach Spaces: Function… …
76Regulated integral — In mathematics, the regulated integral is a definition of integration for regulated functions, which are defined to be uniform limits of step functions. The use of the regulated integral instead of the Riemann integral has been advocated by… …
77Kantorovich theorem — The Kantorovich theorem is a mathematical statement on the convergence of Newton s method. It was first stated by Leonid Kantorovich in 1940. Newton s method constructs a sequence of points that with good luck will converge to a solution x of an… …
78James' theorem — In mathematics, particularly functional analysis, James theorem, named for Robert C. James, states that a Banach space B is reflexive if and only if every continuous linear functional on B attains its maximum on the closed unit ball in B .A… …
79Matrix (mathematics) — Specific elements of a matrix are often denoted by a variable with two subscripts. For instance, a2,1 represents the element at the second row and first column of a matrix A. In mathematics, a matrix (plural matrices, or less commonly matrixes)… …
80Pseudometric space — In mathematics, a pseudometric space is a generalized metric space in which the distance between two distinct points can be zero. In the same way as every normed space is a metric space, every seminormed space is a pseudometric space. Because of… …
