densely defined

Given a topological spaceMathworldPlanetmath X, we say that a map f:YX is densely defined if its domain Y is a dense subset of X.

This terminology is commonly used in the of linear operatorsMathworldPlanetmath with the following meaning: In a normed space X, a linear operator A:𝒟(A)XX is said to be densely defined if 𝒟(A) is a dense vector subspace of X.

Title densely defined
Canonical name DenselyDefined
Date of creation 2013-03-22 13:48:12
Last modified on 2013-03-22 13:48:12
Owner Koro (127)
Last modified by Koro (127)
Numerical id 7
Author Koro (127)
Entry type Definition
Classification msc 47A05
Classification msc 54C10