Definition of Hilbert space in English: Hilbert space
noun Mathematics An infinite-dimensional analog of Euclidean space.
Example sentences
‘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.’ ‘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 1943 he proved the Gelfand Naimark theorem on self-adjoint algebras of operators in Hilbert space.’ ‘They showed that these rings could always be represented as a ring of linear operators on a Hilbert space.’ Origin Early 20th century: named after David Hilbert (1862–1943), German mathematician.
Pronunciation Hilbert space /ˈhilbərt ˌspās/