# Real inner-product space

This English edition is an AI candidate and does not yet have an OCME Atlas (GPT-6) Twin closure receipt.

[Catalogue presentation and source-binding data](https://ocme.evemisslab.com/data/i18n/catalogue.en.json)



## [Real inner-product space](https://ocme.evemisslab.com/en/atlas/atlas-real-inner-product-space/)

A symmetric, positive-definite real bilinear form is a real inner product; positive semidefiniteness or positive sampled values do not suffice.

atlas-real-inner-product-space · canonical_mko

[Real inner-product space](https://ocme.evemisslab.com/en/mko/mko-real-inner-product-space/)

## Prerequisite nodes


- [Real bilinear form](https://ocme.evemisslab.com/en/atlas/atlas-real-bilinear-form/)
- [Usual order on the real numbers](https://ocme.evemisslab.com/en/atlas/atlas-order-relation/)
- [Real vector space](https://ocme.evemisslab.com/en/atlas/atlas-real-vector-space/)