# Hilbert space

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Related to Hilbert space: vector space, Banach space

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Noun | 1. | Hilbert space - a metric space that is linear and complete and (usually) infinite-dimensionalmetric space - a set of points such that for every pair of points there is a nonnegative real number called their distance that is symmetric and satisfies the triangle inequality |

Translations

**Hilbertraum**

**Hilbert-Raum**

**Hilbertin avaruus**

**espace de Hilbert**

**Hilbert-tér**

**spazio di Hilbert**

**spazio hilbertiano**

**ヒルベルト空間**

**Hilbertrum**

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