Hilbert spaces
Discrete Reproducing Kernel Hilbert Spaces: Sampling and Distribution of Dirac-masses
... kernel Hilbert spaces (RKHS) arise from a given positive definite kernel k, a corresponding pre-Hilbert form; and then a Hilbert- ...the Hilbert space completions are subtle; they are ...
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Projection methods of iterative solutions in Hilbert spaces
... In this paper, zero points of the sum of two monotone mappings, solutions of a monotone variational inequality, and fixed points of a nonexpansive mapping are investigated based on a hybrid projection iterative algorithm. ...
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Relay fusion frames for Hilbert spaces
... for Hilbert spaces or Ba- nach spaces are interesting and natural objects to study from both pure and applied math- ematics of the theory point of view, so our work is not ...
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Fixed points in countably Hilbert spaces
... in Hilbert spaces is of paramount importance (see, ...real Hilbert space to a real countably Hilbert ...countably Hilbert spaces, we study iterative methods for approximating ...
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Stochastic differential equations in a scale of Hilbert spaces
... single Hilbert or Banach space (in contrast to spin systems on a regular lattice, which have been well- studied, see ...of Hilbert spaces S ...
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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 ...separable Hilbert space which allows stable and not necessarily unique ...
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General split equality problems in Hilbert spaces
... A new convex feasibility problem, the split equality problem (SEP), has been proposed by Moudafi and Byrne. The SEP was solved through the ACQA and ARCQA algorithms. In this paper the SEPs are extended to ...
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Dirac structures on Hilbert spaces
... The following example explains the relation between the Dirac structures on smooth manifolds in the sense of [1] and our definition of Dirac structures on Hilbert spaces. Example 2.16. Let (M,g) be a ...
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On the hierarchical variational inclusion problems in Hilbert spaces
... The purpose of this paper is by using Maingé’s approach to study the existence and approximation problem of solutions for a class of hierarchical variational inclusion problems in the setting of Hilbert ...
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On manimax theory in two Hilbert spaces
... Hilbert spaces, dual spaces, minimization of functionals, minimax point, saddle point, concave functions, convex function, bicontinuous form, coercive form.. The minimization of functona[r] ...
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HILBERT SPACES AND FOURIER SERIES
... a Hilbert space in order to see that the Fourier series of a square summable function converges in the mean to its correspond- ing ...function. Hilbert spaces, such as L 2 ([−π, π]), play an ...
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Inequalities for the Norm and Numerical Radius of Composite Operators in Hilbert Spaces
... DRAGOMIR, Reverse inequalities for the numerical radius of linear operators in Hilbert spaces, RGMIA Res.. S ´ ANDOR, Some inequalities in prehilbertian spaces, Studia Univ.[r] ...
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Vector Inequalities for Powers of Some Operators in Hilbert Spaces
... Vector inequalities for powers of some operators in Hilbert spaces with applications for operator norm, numerical radius, commutators and self- commutators are given1. The numerical rang[r] ...
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New Reverse Inequalities for Normal Operators in Hilbert Spaces
... Some of the obtained results are based on recent reverse results for the Schwarz inequality in Hilbert spaces due to the author1. Numerical radius, Bounded linear operators, Normal opera[r] ...
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Tensor Product of 2 Frames in 2 Hilbert Spaces
... The concept of frames in Hilbert spaces has been introduced by Duffin and Schaefer in 1952 to study some deep problems in nonharmonic Fourier series. D. Han and D.R. Larson [1] have developed a number of ...
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Convergence Theorem for Class T Mappings in Hilbert Spaces
... We focused on an iterative scheme for the class of T mappings in Hilbert spaces. We established the strong convergence theorem and gave a numerical test to illustrate our main theorem. Our scheme can be ...
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Trace Inequalities of Lipschitz Type for Power Series of Operators on Hilbert Spaces
... Key words : Banach algebras of operators on Hilbert spaces, Power series, Lipschitz type inequalities, Jensen’s type inequalities, Trace of operators, Hilbert-Schmidt norm.. AMS Subject [r] ...
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An Iteration Method for Nonexpansive Mappings in Hilbert Spaces
... Let H be a Hilbert space with inner product · , · and norm · . A mapping T : H → H is said to be nonexpansive if Tx − T y ≤ x − y for any x, y ∈ H. A mapping F : H → H is said to be η-strongly monotone if there ...
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Hybrid Monte Carlo on Hilbert spaces
... The Hybrid Monte Carlo (HMC) algorithm provides a framework for sampling from complex, high- dimensional target distributions. In contrast with standard Markov chain Monte Carlo (MCMC) algorithms, it generates nonlocal, ...
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Strong uniqueness for SDEs in Hilbert spaces with nonregular drift
... We prove pathwise uniqueness for a class of stochastic differential equa- tions (SDE) on a Hilbert space with cylindrical Wiener noise, whose non- linear drift parts are sums of the sub-differential of a convex ...
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