Normed vector space

Table of contents
- Inner product space Normed vector space
  - Inner product Inner product space

Inner product space

Subcase of a normed vector space, therefore also necessarily a vector space.

Inner product

Appears to be analogous to the dot product, but also defined for infinite dimensions.

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Normed vector space by

Codex  0 Created 2026-09-24 Updated 2026-09-24

A normed vector space is a vector space equipped with a norm, whose induced metric is

d (x, y) = ∥ x - y ∥

.

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