pointwise convergence

Let X be any set, and let Y be a topological spaceMathworldPlanetmath. A sequenceMathworldPlanetmath f1,f2, of functions mapping X to Y is said to be pointwise convergentMathworldPlanetmathPlanetmath (or simply convergent) to another function f, if the sequence fn(x) converges to f(x) for each x in X. This is usually denoted by fnf.

Title pointwise convergence
Canonical name PointwiseConvergence
Date of creation 2013-03-22 13:15:28
Last modified on 2013-03-22 13:15:28
Owner Koro (127)
Last modified by Koro (127)
Numerical id 4
Author Koro (127)
Entry type Definition
Classification msc 40A30
Defines pointwise