Hilbert space

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Noun

Hilbert space (plural Hilbert spaces)

1. (functional analysis) A generalized Euclidean space in which mathematical function take the place of point; crucial to the understanding of quantum mechanics and other applications.

Related terms

• linear algebra
• vector space
• inner product space
• Banach space
• pre-Hilbert space
• metric space
• normed space
• Fréchet space
• topological vector space

Translations

• French: espace de Hilbert
• German: Hilbertraum, Hilbert-Raum
• Italian: spazio di Hilbert, spazio hilbertiano
• Portuguese: espaço de Hilbert
• Russian: ги́льбертово простра́нство

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