Solèr's theorem

proper noun

A result concerning certain infinite-dimensional vector spaces, stating that any orthomodular form that has an infinite orthonormal sequence is a Hilbert space over the real numbers, complex numbers or quaternions.

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Meanings

proper noun
  1. mathematicsA result concerning certain infinite-dimensional vector spaces, stating that any orthomodular form that has an infinite orthonormal sequence is a Hilbert space over the real numbers, complex numbers or quaternions.

Origin

The theorem was originally proved by Maria Pia Solèr.

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Cite this entry
APA

Solèr's theorem. (n.d.). In WatkinsX Dictionary. Retrieved November 5, 2026, from https://dictionary.watkinsx.com/word/Sol%C3%A8r's%20theorem

MLA

“Solèr's theorem.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/Sol%C3%A8r's%20theorem. Accessed November 5, 2026.

Chicago

WatkinsX Dictionary, s.v. “Solèr's theorem,” accessed November 5, 2026, https://dictionary.watkinsx.com/word/Sol%C3%A8r's%20theorem.

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