Dvoretzky's theorem

proper noun

An important structural theorem in the theory of Banach spaces, essentially stating that every sufficiently high-dimensional normed vector space will have low-dimensional subspaces that are approximately Euclidean.

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Meanings

proper noun
  1. mathematicsAn important structural theorem in the theory of Banach spaces, essentially stating that every sufficiently high-dimensional normed vector space will have low-dimensional subspaces that are approximately Euclidean.

Origin

Proved by Aryeh Dvoretzky in the early 1960s.

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Cite this entry
APA

Dvoretzky's theorem. (n.d.). In WatkinsX Dictionary. Retrieved November 5, 2026, from https://dictionary.watkinsx.com/word/Dvoretzky's%20theorem

MLA

“Dvoretzky's theorem.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/Dvoretzky's%20theorem. Accessed November 5, 2026.

Chicago

WatkinsX Dictionary, s.v. “Dvoretzky's theorem,” accessed November 5, 2026, https://dictionary.watkinsx.com/word/Dvoretzky's%20theorem.

Source: Dvoretzky's theorem on Wiktionary, CC BY-SA 4.0.