Hilbert–Schmidt operator

nuclear operator of order 2; a bounded operator A on a Hilbert space H such that tr(A*A) is finite
Thing general Q1518047
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Hilbert–Schmidt operator

Summary

Hilbert–Schmidt operator ranks in the top 2% of general entities by monthly Wikipedia readership (151 views/month).[1]

Key Facts

  • David Hilbert is named after Hilbert–Schmidt operator[2].
  • Erhard Schmidt is named after Hilbert–Schmidt operator[3].
  • Hilbert–Schmidt operator's subclass of is recorded as nuclear operator[4].
  • Hilbert–Schmidt operator's Freebase ID is recorded as /m/03v_lx[5].
  • Hilbert–Schmidt operator's defining formula is recorded as \operatorname{tr}(A^A) < \infty<sup id="cite-C15" class="cite-ref" title="Hilbert–Schmidt operator — defining formula (P2534): \operatorname{tr}(A^A) < \infty">[6].
  • Hilbert–Schmidt operator's MathWorld ID is recorded as Hilbert-SchmidtOperator[7].
  • Hilbert–Schmidt operator's maintained by WikiProject is recorded as WikiProject Mathematics[8].
  • Hilbert–Schmidt operator's Microsoft Academic ID is recorded as 2781268278[9].
  • Hilbert–Schmidt operator's Encyclopedia of Mathematics article ID is recorded as Hilbert-Schmidt_operator[10].

Why It Matters

Hilbert–Schmidt operator ranks in the top 2% of general entities by monthly Wikipedia readership (151 views/month).[1] It has Wikipedia articles in 9 language editions, a strong signal of global cultural recognition.[11] It is known by 8 alternative names across languages and contexts.[12]

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] . Freebase Data Dumps. wikidata.org.
  5. [6] . wikidata.org.
  6. [7] . wikidata.org.
  7. [8] . wikidata.org.
  8. [9] . wikidata.org.
  9. [10] . wikidata.org.

Aggregate / graph-position facts

  1. [1] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [11] . Wikidata sitelinks. wikidata.org.
  3. [12] . 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–Schmidt operator. Retrieved April 10, 2026, from https://4ort.xyz/entity/hilbert-schmidt-operator
MLA “Hilbert–Schmidt operator.” 4ort.xyz Knowledge Graph, 4ort.xyz, 10 Apr. 2026, https://4ort.xyz/entity/hilbert-schmidt-operator.
BibTeX @misc{4ortxyz_hilbert-schmidt-operator_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Hilbert–Schmidt operator}}, year = {2026}, url = {https://4ort.xyz/entity/hilbert-schmidt-operator}, note = {Accessed: 2026-04-10}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Hilbert–Schmidt operator — https://4ort.xyz/entity/hilbert-schmidt-operator (retrieved 2026-04-10)

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