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normed vector space

vector space on which a distance is defined
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normed vector space

Summary

normed vector space ranks in the top 2% of general entities by monthly Wikipedia readership (472 views/month).[1]

Key Facts

  • normed vector space is a type of seminormed space[2].
  • normed vector space is a type of quasinormed space[3].
  • normed vector space comprises norm[4].
  • normed vector space's topic's main category is recorded as Category:Normed spaces[5].
  • normed vector space's different from is recorded as normable space[6].
  • normed vector space's studied by is recorded as functional analysis[7].
  • normed vector space's studied by is recorded as linear algebra[8].
  • normed vector space's maintained by WikiProject is recorded as WikiProject Mathematics[9].
  • normed vector space's underlying structure is recorded as normable space[10].
  • normed vector space's underlying structure is recorded as metric space[11].
  • normed vector space's underlying structure is recorded as seminormed space[12].
  • normed vector space's underlying structure is recorded as pseudometric space[13].

Body

Definition and Type

Recorded subclass of include seminormed space[2] and quasinormed space[3].

Use and Application

normed vector space comprises norm[4].

Why It Matters

normed vector space ranks in the top 2% of general entities by monthly Wikipedia readership (472 views/month).[1] It has Wikipedia articles in 26 language editions, a strong signal of global cultural recognition.[14] It is known by 41 alternative names across languages and contexts.[15]

References

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

Direct Wikidata claims

  1. [2] ↑ . wikidata.org.
  2. [3] ↑ . wikidata.org.
  3. [4] ↑ . wikidata.org.
  4. [5] ↑ . wikidata.org.
  5. [6] ↑ . wikidata.org.
  6. [7] ↑ . wikidata.org.
  7. [8] ↑ . wikidata.org.
  8. [9] ↑ . wikidata.org.
  9. [10] ↑ . wikidata.org.
  10. [11] ↑ . wikidata.org.
  11. [12] ↑ . wikidata.org.
  12. [13] ↑ . wikidata.org.

Aggregate / graph-position facts

  1. [1] ↑ . Wikimedia Foundation. dumps.wikimedia.org.
  2. [14] ↑ . Wikidata sitelinks. wikidata.org.
  3. [15] ↑ . 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). normed vector space. Retrieved April 10, 2026, from https://4ort.xyz/entity/normed-vector-space
MLA “normed vector space.” 4ort.xyz Knowledge Graph, 4ort.xyz, 10 Apr. 2026, https://4ort.xyz/entity/normed-vector-space.
BibTeX @misc{4ortxyz_normed-vector-space_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{normed vector space}}, year = {2026}, url = {https://4ort.xyz/entity/normed-vector-space}, note = {Accessed: 2026-04-10}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): normed vector space — https://4ort.xyz/entity/normed-vector-space (retrieved 2026-04-10)

Canonical URL: https://4ort.xyz/entity/normed-vector-space · Last refreshed:

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. 19h ago · Twofivesixbot bot · 2026-05-20 view diff on Wikidata ↗
    Underlying structure(s) → normable space, metric space, seminormed space +1
    Studied by → functional analysis, linear algebra
    Has parts → —
    Subclass of → seminormed space, quasinormed space
    + 6 other properties edited (see Wikidata diff for full list)
    "/* wbsetclaim-update-qualifiers:1||1|3 */ [[Property:P2347]]: 19501, mv to monolingual text names on YSO statements"
Live feed via Wikidata EventStreams. New edits appear within minutes of being made on Wikidata.