L₂ space

1. Introduction

1. Introduction

The $L_{2}$ space is a normed vector space with a particular norm:

\begin{array}{r} (1) & (\sum_{n = 0}^{N} x_{n}^{2})^{\frac{1}{2}} \end{array}

It is easy to prove that this norm satisfies the triangle inequality, and it is even more trivial to prove that this norm satisfies the other postulates. This norm is a part of a larger set of norms that all satisfy the norm definition.

L2 space

Table of Contents

1. Introduction

L₂ space