Formalism II: Infinite-Dimensional Hilbert SpacesThe weird formalism of QM is extended to function spaces. Wave functions and the Schrdinger equation in position space are introduced. On the way, we explain why basis vectors don't need to be elements of the space they are a basis of....
More generally, $GAP(ho)$ is a probability measure on the unit sphere in Hilbert space for any density operator $ho$ (i.e., a positive operator with trace 1). In this note, we collect the mathematical details concerning the rigorous definition of $GAP(ho)$ in infinite-dimensional ...
This paper treats a holomorphic self-mapping f: Omega --> Omega of a bounded domain Omega in a separable Hilbert space H with a fixed point p. In case the domain is convex, we prove an infinite-dimensional version of the Cartan-Caratheodory-Kaup-Wu Theorem. This is basically a rigidity ...
infinite-dimensional space 无限维空I’N[词训妞一曲】.‘0“目印暇;6ee劝”e,。oMep-Hoe npocTp曲cT加」 一个正规的Tl空间X(见正规空间(加mulsPa、ce)),使得对于任何n-一1,O,I,…都不满足不等式d而X(。,即X摊必,并且对任何。二0,1,…存在X的有限开覆盖口。,使得加细口。的任何有限覆盖的重数...
We characterize k- k- smoothness of bounded linear operators defined between infinite-dimensional Hilbert spaces. We study the problem in the setting of both finite and infinite-dimensional Banach spaces. We also characterize k- k- smoothness of operators on some particular spaces, namely \\mathbb...
Iterative methods for the split feasibility problem in infinite-dimensional Hilbert spaces 来自 掌桥科研 喜欢 0 阅读量: 401 作者: Hong-Kun,Xu 摘要: The split feasibility problem (SFP) (Censor and Elfving 1994 Numer. Algorithms 8 221–39) is to find a point x* with the property that x...
"Amenable representations and dynamics of the unit sphere in an infinite- dimensional Hilbert space." Geometric and Functional Analysis 10, no. 5 (2000): 1171-201.V.G. Pestov, Amenable representations and dynamics of the unit sphere in an infinite- dimensional Hilbert space, Geom. Funct. Anal...
W., Infinite-dimensional manifolds are open subsets of Hilbert space, Bull. Amer. Math. Soc. 75 (1969), 759-762.David W. Henderson, Infinite-dimensional manifolds are open subsets of Hilbert space,Henderson, D.W.: Infinite-dimensional manifolds are open subsets of Hilbert space. Topology 9,...
infinite-dimensional space 无限维空I’N[词训妞一曲】.‘0“目印暇;6ee劝”e,。oMep-Hoe npocTp曲cT加」 一个正规的Tl空间X(见正规空间(加mulsPa、ce)),使得对于任何n-一1,O,I,…都不满足不等式d而X(。,即X摊必,并且对任何。二0,1,…存在X的有限开覆盖口。,使得加细口。的任何有限覆盖的重数...
N. Bebiano and J. da Providência, The EMM and the spectral analysis of a non self-adjoint Hamiltonian on an infinite dimensional Hilbert space, 15th Workshop on Pseudo Hermitian Hamiltonians in Quantum Physics, Proceedings, Springer accepted....