projective Hilbert space

noun

The quotient of a Hilbert space by an equivalence relation which considers a pair of vectors equivalent iff they differ only by a factor which is a complex number.

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Meanings

nounprojective Hilbert space (plural projective Hilbert spaces)

plural projective Hilbert spaces

  1. The quotient of a Hilbert space by an equivalence relation which considers a pair of vectors equivalent iff they differ only by a factor which is a complex number.

Origin

From projective + Hilbert space.

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Cite this entry
APA

projective Hilbert space. (n.d.). In WatkinsX Dictionary. Retrieved November 4, 2026, from https://dictionary.watkinsx.com/word/projective%20Hilbert%20space

MLA

“projective Hilbert space.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/projective%20Hilbert%20space. Accessed November 4, 2026.

Chicago

WatkinsX Dictionary, s.v. “projective Hilbert space,” accessed November 4, 2026, https://dictionary.watkinsx.com/word/projective%20Hilbert%20space.

Source: projective Hilbert space on Wiktionary, CC BY-SA 4.0.