Engineering Analysis/Linear Spaces
Linear Spaces are like Vector Spaces, but are more general. We will define Linear Spaces, and then use that definition later to define Function Spaces.
If we have a space X, elements in that space f and g, and scalars a and b, the following rules must hold for X to be a linear space:
- There is a null element φ such that φ + f = f.
- f + (-f) = φ