Hilbert space

noun

A generalized Euclidean space in which mathematical functions take the place of points; crucial to the understanding of quantum mechanics and other applications.

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Meanings

nounHilbert space (countable and uncountable, plural Hilbert spaces)

plural Hilbert spaces

  1. countableuncountablefunctional analysisA generalized Euclidean space in which mathematical functions take the place of points; crucial to the understanding of quantum mechanics and other applications.

Origin

Named after German mathematician David Hilbert (1862–1943).

Full word history & related roots →

Translations

Afrikaans Hilbert-ruimte
  • Hilbert-ruimtea space in mathematics
Bulgarian хилбертово пространство
  • хилбертово пространство (hilbertovo prostranstvo)a space in mathematics
Chinese Cantonese 希爾伯特空間 /希尔伯特空间
  • 希爾伯特空間 /希尔伯特空间 (hei¹ ji⁵ baak³ dak⁶ hung¹ gaan¹)a space in mathematics
Chinese Mandarin 希爾伯特空間 /希尔伯特空间
  • 希爾伯特空間 /希尔伯特空间 (Xī'ěrbótè kōngjiān)a space in mathematics
Danish Hilbertrum
  • Hilbertruma space in mathematics
Finnish Hilbertin avaruus
  • Hilbertin avaruusa space in mathematics
French espace de Hilbert
  • espace de Hilberta space in mathematics
German Hilbertraum, Hilbert-Raum
  • Hilbertrauma space in mathematics
  • Hilbert-Rauma space in mathematics
Hungarian Hilbert-tér
  • Hilbert-téra space in mathematics
Italian spazio di Hilbert, spazio hilbertiano
  • spazio di Hilberta space in mathematics
  • spazio hilbertianoa space in mathematics
Japanese ヒルベルト空間
  • ヒルベルト空間 (Hiruberuto-kūkan)a space in mathematics
Korean 힐베르트 공간
  • 힐베르트 공간 (hilbereuteu gonggan)a space in mathematics
Polish przestrzeń Hilberta
  • przestrzeń Hilbertaa space in mathematics
Portuguese espaço de Hilbert
  • espaço de Hilberta space in mathematics
Romanian spațiu Hilbert
  • spațiu Hilberta space in mathematics
Russian ги́льбертово простра́нство
  • ги́льбертово простра́нство (gílʹbertovo prostránstvo)a space in mathematics
Swedish Hilbertrum
  • Hilbertruma space in mathematics
Cite this entry
APA

Hilbert space. (n.d.). In WatkinsX Dictionary. Retrieved November 3, 2026, from https://dictionary.watkinsx.com/word/Hilbert%20space

MLA

“Hilbert space.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/Hilbert%20space. Accessed November 3, 2026.

Chicago

WatkinsX Dictionary, s.v. “Hilbert space,” accessed November 3, 2026, https://dictionary.watkinsx.com/word/Hilbert%20space.

Source: Hilbert space on Wiktionary, CC BY-SA 4.0.