Some unpleasant objects in a non-separable Hilbert space - Khan, Rustichini - 1991 () Citation Context ...Corollary 18.27]), there exists a measurable function g : Ω → X such that g(ω) ∈Γ(ω) a.e. ω∈ Ω. For the difficulties with measurable correspondences with values in ...
A convex sweeping process with unbounded nonconvex perturbation term of a rather general form is investigated in a separable Hilbert space. We consider our sweeping process as an evolution inclusion with subdifferential operators. This allows to prove the theorem on existence of solutions under conditio...
The confined system approximation for solving non-separable potentials in three dimensions 来自 国家科技图书文献中心 喜欢 0 阅读量: 18 作者:H Taseli,R Eid 摘要: The Hilbert space 0305-4470/31/13/013/img1, to which the wavefunction of the three-dimensional Schrödinger equation belongs, has ...
The nature of our approximation is elaborated in more detail when the output space Y is a Banach space. This result is given in Theorem 26. 2.6.1 Preliminaries Let H be a separable Hilbert space. Consider the class A = A (H) of linear operators A∈ ℒ(H, H) defined by (2.89)...
A combination c onsisting of separable Hilbert spaces ~, ~, and ~ satisfying the condition dim (~ ~b ~) = dim (~ • @), together with a unitary mapping U of the space ~ ~ onto ~ ~ @ is called a node and is denoted by the symbol a = (@u~ .t The space ~ is called ...
In the present paper, we deal with the perturbed operatorwhere is a closed densely defined linear operator on a separable Hilbert space X with domain while are linear operators on X with the same domain and satisfying a specific growing inequality. The basic idea here is to investigate under ...
LetHbeaseparableHilbertspaceandEbeanotherseparableHilbertspacesuchthat 日 isimbeddedinEdenselyandcontinuouslyandimbeddingisHilbert—Schmidt.Let bea meanzeroGaussianmeasureon(E,舀(E))withthereproducingkernelspaceH,whereB(E) denotestheBorel盯一field.The(H,E,)isanabstractWienerspaceinthesenseofGross.More genera...
gin Schwartz's spaceSof real test functions, whereV[g] andW[f] are unitary operators defined on some separable Hilbert spaceH, and which satisfy the ... JR Klauder,J Mckenna - 《Journal of Mathematical Physics》 被引量: 41发表: 1965年 A Simple C*-Algebra Generated by Two Finite-Order...
Causally separable vs causally nonseparable processes. Since we assume that Charlie does not send any outgoing system out of his lab, one can argue2 that the only relevant causal orders are those where he is last; we are thus left to consider only the orders ABC and BA...
The familiar Hilbert space approach to QM and QFT alike takes the state of a physical system to be a unit vector (or, more properly, a ray) in a separable Hilbert space H. Identifying observables with self-adjoint operators acting on H, the approach uses H's inner product 〈|〉 to ca...