Hilbert Space
EXTENSION OF THE PROJECTION THEOREM ON HILBERT SPACE TO FUZZY HILBERT SPACE OVER FUZZY NUMBER SPACE
... on Hilbert space to its fuzzy version over fuzzy number space embedded with fuzzy number ...fuzzy Hilbert space over fuzzy number space with fuzzy number ...fuzzy Hilbert ...
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A Guaranteed Pursuit Time in a Differential Game in Hilbert Space
... There are many works devoted to control and differential game problems described by infinite system of differential equations. In the paper of Alias et al., (2017), an evasion differential game of infinitely many evaders ...
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A theory of concepts and their combinations II: A Hilbert space representation
... complex Hilbert space, the mathematical space used as a basis of the quantum mechanical ...numerical space, the complex Hilbert ...
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On Some Fractional Stochastic Integrodifferential Equations in Hilbert Space
... We study a class of fractional stochastic integrodi ff erential equations considered in a real Hilbert space. The existence and uniqueness of the Mild solutions of the considered problem is also studied. We ...
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Step Size Adaptation in Reproducing Kernel Hilbert Space
... kernel Hilbert space (RKHS) and translate SMD to the nonparametric setting, where its gradient trace parameter is no longer a coefficient vector but an element of the ...
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Linear overdetermined boundary value problems in Hilbert space
... Linear boundary value problems (BVPs) for differential equations with ordinary deriva- tives that lack the everywhere and unique solvability are met with in various applications. Among these applications are some problems ...
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Landscape of uncertainty in Hilbert space for one-particle states
... The functional of uncertainty J@c# assigns to each state uc & the product of the variances of the momentum and position operators. Its first and second variations are investigated. Each stationary point is located on ...
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A Note on Isomorphy and Unitary Isomorphy of Hilbert Space Frames
... Frame isomorphy and unitary isomorphy can be used to determine equivalence classes of some Hilbert space frames. There are at most finitely many frame equivalence classes, which means that the problem of ...
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No fuss metric learning, a Hilbert space scenario
... kernel Hilbert space can be projected onto the positive cone ...kernel Hilbert space before learning a ...kernel Hilbert space, leads to more robust and better ...
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THE EFFECT OF FOURIER TRANSFORM ON FUNCTIONS IN HILBERT SPACE
... In quantum theory, each of the paired quantities, e.g., position and momentum, are interrelated by the Fourier transform.. This Fourier transform-based duality between position and momentum, or multiplication and ...
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On a certain class of nonstationary sequences in Hilbert space
... We study the functions of correlation K(n, m) = X(n), X(m) of certain se- quences: X(n) = T n x 0 , x 0 ∈ H where T is a contraction in Hilbert space H. By using the spectral methods of the nonunitary ...
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Intuitionistic Fuzzy Hilbert Space And Some Properties
... product space (FIP-space) and fuzzy norm ...product space (FIP-space) whose associated fuzzy norm is of Bag and ...product space (IFIP-space) and introduce the definition of ...
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Model-free Variable Selection in Reproducing Kernel Hilbert Space
... Variable selection is popular in high-dimensional data analysis to identify the truly informa- tive variables. Many variable selection methods have been developed under various model assumptions. Whereas success has been ...
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Hilbert space theory for relativistic dynamics with reflection. Special cases
... tion (1.41), its definition domain consists of functions that have an analytic continuation to the strip |Im x| < a − , but the locations of their square-root branch points for x ∈ i(−a − , a − ) (which can be read off ...
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Reproducing Kernel Hilbert space regression with notes on the Wasserstein Distance
... reproducing-kernel Hilbert space (RKHS) has been extensively studied (Smale and Zhou, 2007; Caponnetto and de Vito, 2007; Steinwart and Christmann, 2008; Mendelson and Neeman, 2010; Steinwart et ...
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The subgradient double projection method for variational inequalities in a Hilbert space
... on a bounded set of H, but we can see that f is not Lipschitz continuous. So, our assump- tion (A) is weaker than Lipschitz continuous. Recently, the literature [] proposed two subgradient extragradient algorithms for ...
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Strong Convergence Theorems for Infinitely Nonexpansive Mappings in Hilbert Space
... Theorem 3.1. Let C be a closed convex subset of a Hilbert space H and let {W n 1 } and {W n 2 } be defined as 1.2. Assume that α n ≤ a for all n and for some 0 < a < 1, and {α n } ∈ b, c for all n and ...
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ON THE BEST APPROXIMATION OF THE INFINITESIMAL GENERATOR OF A CONTRACTION SEMIGROUP IN A HILBERT SPACE
... a Hilbert space with the inner product ( · , · ) and the norm k · k , and let A be the infinitesimal generator of a strongly continuous contraction semigroup in ...Banach space see, ...the ...
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Functional inverse regression and reproducing kernel Hilbert space
... Kernel Hilbert Space (RKHS) is an effective and profound device for statistical analysis involving infinite dimensional data objects, while inverse regression (IR) is a renowned and brilliant idea in ...
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Linear algebra and differential geometry on abstract Hilbert space
... various Hilbert spaces of functions in- cluding spaces of smooth and generalized ...between Hilbert spaces of functions and at the same time to formulate problems in a way independent of any particular ...
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