Definition of Hilbert space in English:

Hilbert space

Line breaks: Hil|bert space
Pronunciation: /ˈhɪlbət speɪs


  • An infinite-dimensional analogue of Euclidean space.
    More example sentences
    • His theorem, now called the Riesz - Fischer theorem, which he proved in 1907, is fundamental in the Fourier analysis of Hilbert space.
    • He took various ideas of Hilbert on integral equations and combined these into the concept of a Hilbert space around 1905.
    • In short, to have any hope of understanding what a Hilbert space is, you must learn and digest a whole hierarchy of lower-level concepts first.


early 20th century: named after David Hilbert (1862–1943), German mathematician.

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