Separable hilbert space
Duality of measure and category in infinite dimensional separable Hilbert space ℓ2
... Let (E,T ) be a nonempty topological vector space. Denote by B(E) the Borel σ - algebra of subsets of the space E, generated by the topology T . Consider a nontrivial Borel measure µ defined on the σ ...
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On some equalities and inequalities for K frames
... problems in sampling theory [15, 16]. In this work, we extend and improve these results to obtain some equalities and inequalities for K-frames. First, we are going to state some preliminaries of K-frames and their ...
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Wavelet type frames and wavelet type bases
... The idea of this paper comes from wavelets theory. In classical functional analysis, a basis of a separable Hilbert space is a countable subset of H with certain properties. In the wavelet theory, a ...
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UNITARILY INVARIANT NORMS ON FINITE VON NEUMANN ALGEBRAS, Haihui Fan
... we consider a type I von Neumann algebra acting on a separable Hilbert space as a direct integral of factors, we can change the factors so that they all have multiplicity 1. This gives another von ...
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A Common Unique Random Fixed Point Theorem With Rational Inequality In Hilbert Space
... We prove a new common fixed point theorem with rational inequality for two random operators defined on a non- empty closed subset of a separable Hilbert Space.. Our results generalize a[r] ...
5
Some results on continuous frames for Hilbert Spaces
... in Hilbert spaces has been introduced by Dun and Schaeer [2] and popularized greatly by Daubechies, Grossmann and Meyer ...a separable Hilbert space which allows stable and not necessarily ...
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Structured Sparsity and Generalization
... We present a data dependent generalization bound for a large class of regularized algorithms which implement structured sparsity constraints. The bound can be applied to standard squared-norm regularization, the Lasso, ...
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Covariant Mehler semigroups in Hilbert space
... Generalised Mehler semigroups are beautiful objects which have attracted the attention of both analysts and probabilists. They are semigroups of linear operators (T (t), t ≥ 0) acting on the space of bounded ...
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Strongly exposed points in the unit ball of trace class operators
... a separable Hilbert space, and he obtained very useful and complete results in [2] on the extremal structure of these operator ...Banach space theorists, we thought it is worthwhile to find a ...
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Certain invariant subspaces for operators with rich eigenvalues
... Let H be a separable Hilbert space and let BH denote the algebra of all bounded For T c BH the spectrum, point spectrum, compression linear operators on H... oT,op T, For the appropriate[r] ...
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On (N+K) Power Class (Q) Operators in the Hilbert Space - I
... complex separable Hilbert ...on Hilbert space using ...complex Hilbert space H is n- power quasi n-normal if 𝑇 𝑛 (𝑇 ∗ 𝑇 𝑛 ) = (𝑇 ∗ 𝑇 𝑛 )𝑇 𝑛 that is𝑇 𝑛 commutes with 𝑇 ∗ 𝑇 𝑛 for ...
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Characterizing the R duality of g frames
... In this paper, we define the g-Riesz-dual of a given special operator-valued sequence with respect to g-orthonormal bases for a separable Hilbert space. We demonstrate that the g-R-dual keeps some ...
14
Vol 2013
... an observable corresponds to a Hermitian linear operator T on a Hilbert space H and when the possible values of the observable are discrete, these are the possible eigenvalues of T . The Stern- Gerlach ...
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Solutions of the Schrödinger equation in a Hilbert space
... In this work, we develop constructive methods of analysis of linear and weakly nonlinear boundary-value problems, which occupy a central place in the qualitative theory of differ- ential equations. The specific feature of ...
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Representation Theorem on Γ-Hilbert Space
... Γ-Hilbert space was introduced by Bhattacharya ...Γ- Hilbert space and linear quadratic control problem” in ...Γ-Hilbert Space after ...Γ-Hilbert Space, mainly ...
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On homomorphisms of an orthogonally decomposable hilbert space
... ON HOMOMORPHISMS OF AN ORTHOGONALLY DECOMPOSABLE HILBERT SPACE by Trien Bang Dang A thesis submitted for the dPgree of Doctor of Philo5ophy at the Australian );a t ion al L niversity Canberra February[.] ...
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Isomorphism of Groups of Operators on Hilbert Space
... linear space E in to a linear space E then T preserves the origin and ...linear space (over the field K). then a mapping T:E→E from a linear space E in to E itself is called a linear operator ...
6
The Schrödinger Equation of the Hilbert Hyper Space
... (39) Let us conclude this part by suggesting that similar to the way we did for each level of Hamiltonians, it is pos- sible to define each level with the location concepts place perception and momentum perception, that ...
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Discrete Reproducing Kernel Hilbert Spaces: Sampling and Distribution of Dirac-masses
... The paper is organized as follows: Section 2 leads up to our characterization (Theorem 1) of point-masses which have finite H -norm. It is applied in Sections 3 and 4 to a variety of classes of discrete RKHSs. Section 3 ...
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Hilbert space compression and exactness of discrete groups
... In general a hyperplane is analogous to an immersed codimension 1 subman- ifold in a Riemannian manifold and in a CAT(0) cube complex one can show that the immersion is a local isometry. An application of the ...
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