## linear space

A vector space where all linear combinations of elements are also elements of the space. This is easy for spaces of numbers but not for a space of functions. Roughly, this is to say that multiplication by numbers, and addition of elements is defined in the space.

Last updated: 2000-03-10

### Nearby terms:

linear programming ♦ **linear space** ♦ linear topology ♦ linear transformation

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