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bn:00044140n
Noun Concept
Categories: Linear algebra, Functional analysis, David Hilbert, Operator theory, Articles with short description
EN
Hilbert space  Complete inner product space  complex Hilbert space  Hilbert space dimension  Hilbert spaces
EN
A metric space that is linear and complete and (usually) infinite-dimensional WordNet 3.0
Definitions
Relations
Sources
EN
A metric space that is linear and complete and (usually) infinite-dimensional WordNet 3.0 & Open English WordNet
In mathematics, Hilbert spaces allow the methods of linear algebra and calculus to be generalized from Euclidean vector spaces to spaces that may be infinite-dimensional. Wikipedia
A space in many ways resembling a Euclidean space, but in important instances infinite-dimensional Wikipedia Disambiguation
A generalized Euclidean space in which mathematical functions take the place of points; crucial to the understanding of quantum mechanics and other applications. Wiktionary
A space in mathematics. Wiktionary (translation)
IS A
metric space
mathematical problem
Hilbert manifold
uniformly convex space
inner product space
PART OF
abstract Wiener space
HAS KIND
Euclidean space
Fock space
reproducing kernel Hilbert space
FR
H*-algèbre
DESCRIBED BY SOURCE
Armenian Soviet Encyclopedia
NAMED AFTER
Hilbert
WordNet 3.0 & Open English WordNet
EN
Hilbert space
Wikipedia
EN
Hilbert space
Wikidata
EN
Hilbert space
Wiktionary
EN
Hilbert space
Wikipedia Redirections
EN
Complete inner product space, complex Hilbert space, Hilbert Space, Hilbert space dimension, Hilbert spaces, Hilbert spaces and Fourier analysis, Linear Algebra/Hilbert Spaces, separable Hilbert space, Square-summable sequence, ℓ2, ℓ2 space

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