Definition:Complex Vector Space

Definition

Let $\C$ be the set of complex numbers.

Then the $\C$-module $\C^n$ is called the complex ($n$-dimensional) vector space.

Also known as

A complex vector space is also known as a complex linear space.

Also see

This object is proved to be a vector space in Complex Vector Space is Vector Space.

The definition is also expanded upon in Complex Numbers form Vector Space over Themselves.

• Results about complex vector spaces can be found here.

Sources

• 1998: Yoav Peleg, Reuven Pnini and Elyahu Zaarur: Quantum Mechanics ... (previous) ... (next): Chapter $2$: Mathematical Background: $2.2$ Vector Spaces over $C$