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nuclear space

Hausdorff locally convex space such that tensor product with any other Hausdorff locally convex space is uniquely defined (i.e. the projective tensor product is canonically isomorphic to the injective tensor product)
Class type of: locally convex space, Hausdorff space Q283804

Facts

6 properties
Subclass of
locally convex space, Hausdorff space[2][3]
Defining formula
\forall B\in\operatorname{LCTVS}\colon (A\otimes_\pi B)\overset\sim\to (A\otimes_\epsilon B)[5]
Discoverer or inventor
Alexander Grothendieck[1]
In defining formula
B, \otimes_\pi, \otimes_\epsilon, A[7][8][9][10]
Maintained by WikiProject
WikiProject Mathematics[6]
Time of discovery or invention
1955[4]
🏷️ Also known as
en nuclear space de nuklearer Raum es espacio nuclear fr espace nucléaire ja 核空間 ja 核型空間 ko 핵공간 ko 핵형 공간 nl nucleaire ruimte pt espaço nuclear ru ядерное пространство
🔖 Identifiers · 6
Encyclopedia of Mathematics article ID
Nuclear_space
Freebase ID
/m/07yzbf
Microsoft Academic ID (discontinued)
15342108
NLab ID
nuclear space
PlanetMath ID
NuclearSpace
Stack Exchange tag
mathoverflow.net

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🔗 Connections
Subclass of 2
Hausdorff space, locally convex space
Discoverer or inventor 1
Alexander Grothendieck
Maintained by WikiProject 1
WikiProject Mathematics
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Related Entities

Alexander Grothendieck

References

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

Direct Wikidata claims

  1. [1] ↑ . History of Functional Analysis. wikidata.org.
  2. [2] ↑ . wikidata.org.
  3. [3] ↑ . wikidata.org.
  4. [4] ↑ . wikidata.org.
  5. [5] ↑ . wikidata.org.
  6. [6] ↑ . wikidata.org.
  7. [7] ↑ . wikidata.org.
  8. [8] ↑ . wikidata.org.
  9. [9] ↑ . wikidata.org.
  10. [10] ↑ . wikidata.org.

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APA 4ort.xyz Knowledge Graph. (2026). nuclear space. Retrieved November 8, 2026, from https://4ort.xyz/entity/nuclear-space
MLA “nuclear space.” 4ort.xyz Knowledge Graph, 4ort.xyz, 8 Nov. 2026, https://4ort.xyz/entity/nuclear-space.
BibTeX @misc{4ortxyz_nuclear-space_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{nuclear space}}, year = {2026}, url = {https://4ort.xyz/entity/nuclear-space}, note = {Accessed: 2026-11-08}}
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