: a vector space for which a scalar product is defined and in which every Cauchy sequence composed of elements in the space converges to a limit in the space

Examples of Hilbert space in a Sentence

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The coordinates of a vector in Hilbert space include information that corresponds to this alignment of peaks and troughs, called a wave’s phase. — Elise Cutts, Quanta Magazine, 23 Sep. 2026 See All Example Sentences for Hilbert space

Word History

Etymology

David Hilbert

First Known Use

1911, in the meaning defined above

Time Traveler
The first known use of Hilbert space was in 1911

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Cite this Entry

“Hilbert space.” Merriam-Webster.com Dictionary, Merriam-Webster, https://www.merriam-webster.com/dictionary/Hilbert%20space. Accessed 7 Oct. 2026.

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