Dvoretzky's theorem
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.
Proper noun
Dvoretzky's theorem
- 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.
Origin of Dvoretzky's theorem
Proved by Aryeh Dvoretzky in the early 1960s.
Questions about Dvoretzky's theorem
- What does Dvoretzky's theorem mean?
- Dvoretzky's theorem means 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.
- What part of speech is Dvoretzky's theorem?
- Dvoretzky's theorem is a proper noun.
Words near Dvoretzky's theorem in the dictionary
Source and license
Adapted from Wiktionary: Dvoretzky's theorem (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.
Last updated:
Cite this entry: “Dvoretzky's theorem.” Word.ws, https://word.ws/dvoretzky%27s_theorem. Based on Wiktionary, CC BY-SA 4.0.
