A definition of continuous, normed vectors spaces map
Topics
About: vectors space
The table of contents of this article
Starting Context
- The reader knows a definition of normed vectors space.
- The reader knows a definition of map.
Target Context
- The reader will have a definition of continuous, normed vectors spaces map.
Orientation
There is a list of definitions discussed so far in this site.
There is a list of propositions discussed so far in this site.
Main Body
1: Definition
For any normed vectors spaces, \(V_1\) and \(V_2\), any map, \(f: V_1 \to V_2\), such that for any vector, \(v_{11} \in V_1\), and any vectors sequence, \(v_{1i} \in V_1\), that converges to \(v_{11}\), \(\lim_{v_{1i} \to v_{11}} f (v_{1i}) = f (v_{11})\)