Hilbert space

inner product space that is metrically complete; a Banach space whose norm induces an inner product (follows the parallelogram identity)
Intangible mathematical_concept Q190056
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Hilbert space

Summary

Hilbert space is a mathematical concept[1]. It ranks in the top 0.79% of mathematical_concept entities by monthly Wikipedia readership (4,087 views/month, #8 of 1,007).[2]

Key Facts

  • Hilbert space's instance of is recorded as mathematical concept[3].
  • David Hilbert is named after Hilbert space[4].
  • Hilbert space is a type of uniformly convex space[5].
  • Hilbert space is a type of inner product space[6].
  • Hilbert space is a type of Hilbert manifold[7].
  • Hilbert space is a type of Banach space[8].
  • Hilbert space's Commons category is recorded as Hilbert space[9].
  • Hilbert space's topic's main category is recorded as Category:Hilbert spaces[10].
  • Hilbert space's described by source is recorded as Armenian Soviet Encyclopedia, vol. 6[11].
  • Hilbert space's topic has template is recorded as Template:Hilbert space[12].
  • Hilbert space's Stack Exchange tag is recorded as https://mathoverflow.net/tags/hilbert-spaces[13].
  • Hilbert space's Stack Exchange tag is recorded as https://math.stackexchange.com/tags/hilbert-spaces[14].
  • Hilbert space's Stack Exchange tag is recorded as https://physics.stackexchange.com/tags/hilbert-space[15].
  • Hilbert space's Stack Exchange tag is recorded as https://quantumcomputing.stackexchange.com/tags/hilbert-space[16].
  • Hilbert space's on focus list of Wikimedia project is recorded as Wikipedia:Vital articles/Level/4[17].
  • Hilbert space's maintained by WikiProject is recorded as WikiProject Mathematics[18].

Body

Definition and Type

Hilbert space's instance of is recorded as mathematical concept[3]. Recorded subclass of include uniformly convex space[5], inner product space[6], Hilbert manifold[7], and Banach space[8].

Origins

David Hilbert is named after Hilbert space[4].

Influence

Things named for Hilbert space include Hilbert manifold[19].

Why It Matters

Hilbert space ranks in the top 0.79% of mathematical_concept entities by monthly Wikipedia readership (4,087 views/month, #8 of 1,007).[2] It has Wikipedia articles in 28 language editions, a strong signal of global cultural recognition.[20] It is known by 32 alternative names across languages and contexts.[21]

Entities named for it include Hilbert manifold[19].

References

Programmatic citations — every numbered marker resolves to a verifiable graph row below.

Direct Wikidata claims

  1. [3] . wikidata.org.
  2. [4] . wikidata.org.
  3. [5] . wikidata.org.
  4. [6] . wikidata.org.
  5. [7] . wikidata.org.
  6. [8] . wikidata.org.
  7. [9] . wikidata.org.
  8. [10] . wikidata.org.
  9. [11] . wikidata.org.
  10. [12] . wikidata.org.
  11. [13] . wikidata.org.
  12. [14] . wikidata.org.
  13. [15] . wikidata.org.
  14. [16] . wikidata.org.
  15. [17] . wikidata.org.
  16. [18] . wikidata.org.

Inverse relationships (entities pointing at this one)

  1. [19] . wikidata.org. → on this site

Class ancestry

  1. [1] . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [20] . Wikidata sitelinks. wikidata.org.
  3. [21] . Wikidata aliases. wikidata.org.

📑 Cite this page

Use these citations when quoting this entity in research, articles, AI prompts, or wherever provenance matters. We aggregate Wikidata + Wikipedia + authoritative open-data sources; the stitched, scored, cross-referenced view is what 4ort.xyz contributes.

APA 4ort.xyz Knowledge Graph. (2026). Hilbert space. Retrieved May 3, 2026, from https://4ort.xyz/entity/hilbert-space
MLA “Hilbert space.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/hilbert-space.
BibTeX @misc{4ortxyz_hilbert-space_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Hilbert space}}, year = {2026}, url = {https://4ort.xyz/entity/hilbert-space}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Hilbert space — https://4ort.xyz/entity/hilbert-space (retrieved 2026-05-03)

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Edit History

Rolling log of changes to this entity's Wikidata record. Values shown reflect the current state of each edited property — follow the history link to see the precise diff for any edit.

  1. 2d ago · Twofivesixbot bot · 2026-05-18 view diff on Wikidata ↗
    Subclass of uniformly convex space, inner product space, Hilbert manifold +1
    Instance of
    Instance of mathematical concept
    Named after
    + 8 other properties edited (see Wikidata diff for full list)
    "/* wbsetclaim-update-qualifiers:1||1|3 */ [[Property:P2347]]: 27794, mv to monolingual text names on YSO statements"
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