希尔伯特空间 - 维基百科，自由的百科全书
量子力学中由平面波和束缚态所构成的希尔伯特空间，一般被称为装备希尔伯特空间（rigged Hilbert space） 在所有的 无穷维 拓扑向量空间 中，希尔伯特空间性质最好，也最接近有限维 …
Hilbert space on Graph - Mathematics Stack Exchange
2021年2月24日 · It's in this setting that you do linear algebra with things like the graph Laplacian, just writing expressions like $\langle f, Lf\rangle$ or possibly normalizing to get $\frac{\langle f, …
Hilbert Space -- from Wolfram MathWorld
A Hilbert space is a vector space H with an inner product <f,g> such that the norm defined by |f|=sqrt(<f,f>) turns H into a complete metric space. If the metric defined by the norm is not …
Hilbert space - Wikipedia
In mathematics, Hilbert spaces (named after David Hilbert) allow the methods of linear algebra and calculus to be generalized from (finite-dimensional) Euclidean vector spaces to spaces …
of ‘operator’ theory on Hilbert space that we will use here.) One of the crucial distinctions between the treatment of nite dimensional matrices and an in nite dimensional setting is that in the latter …
Example 1.3 (Hilbert-Schmidt operators). One standard example is given by com-pact operators of Hilbert-Schmidt type. Recall that for a measure space (X; ), given a kernel function k : X X!C …
18.102: NOTES ON HILBERT SPACE RICHARD MELROSE Abstract. Here are some notes summarizing and slightly reorganizing the material covered from Chapter 3 of Debnaith and …
Hilbert spaces whose elements are entire functions originate in attempts by Stielt-jes to prove the Riemann hypothesis. The spaces which he constructed have nite dimension and contain only …
Hilbert space was put forward by David Hilbert in his work on quadratic forms in in nitely many variables. It’s a generalization of Euclidean space to in nite dimensions.
66 6 Kinematical Hilbert Space manifold—constitutes the kinematical Hilbert space for a single edge e. For a graph, the kinematical Hilbert space is the tensor product space H =⊗ eH e …