# Definition:Continuously Embedded

Jump to navigation
Jump to search

## Definition

Let $\operatorname{id} : V \to W$ be an embedding of normed vector spaces.

Then $V$ is **continuously embedded** in $W$ and $\operatorname{id}$ is a **continuous embedding** if the identity $\operatorname{id}$ is a continuous mapping.

This article, or a section of it, needs explaining.In particular: Link to the specific context in which continuous mapping is definedYou can help $\mathsf{Pr} \infty \mathsf{fWiki}$ by explaining it.To discuss this page in more detail, feel free to use the talk page.When this work has been completed, you may remove this instance of `{{Explain}}` from the code. |