Concept information
Preferred term
Hilbert space
Definition
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In mathematics, Hilbert spaces (named after David Hilbert) allow the methods of linear algebra and calculus to be generalized from (finite-dimensional) Euclidean vector spaces to spaces that may be infinite-dimensional. Hilbert spaces arise naturally and frequently in mathematics and physics, typically as function spaces. Formally, a Hilbert space is a vector space equipped with an inner product that induces a distance function for which the space is a complete metric space.
(Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Hilbert_space)
Broader concept
In other languages
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French
URI
http://data.loterre.fr/ark:/67375/PSR-S7FM9BJ5-N
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