O que (quem) é Hilbert space - definição
Hilbert space
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![[[David Hilbert]]](https://commons.wikimedia.org/wiki/Special:FilePath/Hilbert.jpg?width=200 "[[David Hilbert]]")
INNER PRODUCT SPACE THAT IS METRICALLY COMPLETE; A BANACH SPACE WHOSE NORM INDUCES AN INNER PRODUCT (FOLLOWS THE PARALLELOGRAM IDENTITY)
Linear Algebra/Hilbert Spaces; Complex Hilbert space; Hilbert spaces; Hilbert spaces and Fourier analysis; Separable Hilbert space; Complete inner product space; Hilbert Space; Hilbert space dimension; Draft:Xu–Zikatanov identity; Square-summable sequence; ℓ2 space; ℓ2
In mathematics, Hilbert spaces (named after David Hilbert) allow generalizing the methods of linear algebra and calculus from (finite-dimensional) Euclidean vector spaces to spaces that may be infinite-dimensional. A Hilbert space is a vector space equipped with an inner product which defines a distance function for which it is a complete metric space.
Hilbert space
INNER PRODUCT SPACE THAT IS METRICALLY COMPLETE; A BANACH SPACE WHOSE NORM INDUCES AN INNER PRODUCT (FOLLOWS THE PARALLELOGRAM IDENTITY)
Linear Algebra/Hilbert Spaces; Complex Hilbert space; Hilbert spaces; Hilbert spaces and Fourier analysis; Separable Hilbert space; Complete inner product space; Hilbert Space; Hilbert space dimension; Draft:Xu–Zikatanov identity; Square-summable sequence; ℓ2 space; ℓ2
¦ noun Mathematics an infinite-dimensional analogue of Euclidean space.
Origin
early 20th cent.: named after the German mathematician David Hilbert.
Rigged Hilbert space
HILBERT SPACE EQUIPPED WITH A DENSE SUBSPACE THAT CARRIES (IN ADDITION TO THE SUBSPACE TOPOLOGY) A FINER TOPOLOGY SUCH THAT THE INCLUSION MAP IS CONTINUOUS
Generalized eigenspaces of unbounded continuous operators; Generalized eigenspaces of unbounded operators; Generalized eigenfunction; Generalised eigenfunction; Gelfand triple; Nested Hilbert space; Equipped Hilbert space; Rigged hilbert space; Banach Gelfand triple; (Banach) Gelfand triple
In mathematics, a rigged Hilbert space (Gelfand triple, nested Hilbert space, equipped Hilbert space) is a construction designed to link the distribution and square-integrable aspects of functional analysis. Such spaces were introduced to study spectral theory in the broad sense.
Exemplos de pronúncia para Hilbert space
1. Hilbert space is the name we attach
Something Deeply Hidden _ Sean Carroll _ Talks at Google
2. when two quantum parts of Hilbert space
Something Deeply Hidden _ Sean Carroll _ Talks at Google
3. are vectors in Hilbert space, right?
Marvin Weinstein _ Talks at Google
4. in some abstract Hilbert space and deriving
Something Deeply Hidden _ Sean Carroll _ Talks at Google
5. of Hilbert space, the space of all the possible wave
Something Deeply Hidden _ Sean Carroll _ Talks at Google
