invariant subspace problem
Some remarks on the invariant subspace problem for hyponormal operators
... the invariant subspace problem (ISP) for hyponormal operators and thus to bring into focus what remains to be done to solve the problem ...
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An invariant subspace problem for multilinear operators on Banach spaces and algebras
... The central point of our results, as envisaged in Theorems ., . and . is that structural properties of operators and spaces are key in the development of techniques for tackling nonlinear ISP. Indeed, an attempt to ...
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Approximation in reflexive Banach spaces and applications to the invariant subspace problem
... Then, in Section 3, we give two kinds of application. The first is the resolution of the so-called Bounded Completion problem (BCP) in a reflexive, smooth and strictly convex Banach space. The second concerns the ...
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The invariant subspace problem for absolutely p summing operators in Krein spaces
... similar problem for the case κ = . After Pon- tryagin’s result, the problem on the existence of invariant maximal semi-definite subspaces turned out to be the focus of attention in the theory of ...
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On Markov Moment Problem and Mazur Orlicz Theorem
... In the first part of this work, new applications of Mazur-Orlicz theorem have been proved (Section 2). In Section 3, Markov type moment problem results are studied. Comparing theorems 2.2 and 3.2, we see that the ...
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Advancements of outlier detection: a survey
... This section presents a comprehensive survey on the major existing methods for detecting point outliers from vector-like data sets. Both the conventional outlier detection methods that are mainly appropriate for ...
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Invariant manifolds and orbit control in the solar sail three-body problem
... of the sails feasible, and partly due to the emerging understanding of the full dynamical possibilites of solar sails. In particular, the solar sail in the setting of the circular restricted 3-body problem (CR3BP) ...
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Exact solutions of a linear fractional partial differential equation via characteristics method
... Abstract In recent years, many methods have been studied for solving differential equations of fractional order, such as Lie group method, invariant subspace method and numerical methods, [1, 2, 3, 4]. ...
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The solution of the third problem for the Laplace equation on planar domains with smooth boundary and inside cracks and modified jump conditions on cracks
... Definition 8.3. The bounded linear operator T on the Banach space X is called Fredholm if α(T ), the dimension of the kernel of T, is finite, the range T(X) of T is a closed subspace of X, and β(T ), the ...
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Construction of Approximation Spaces for Reinforcement Learning
... typical subspace-invariant approximation ...actually subspace-invariant under PVF or ...are subspace-invariant for all MDPs with a self-adjoint transition operator and PVF are ...
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Proper contractions and invariant subspaces
... nontrivial invariant subspace, then T is either a proper contraction of class Ꮿ 00 or a nonstrict proper contrac- tion of class Ꮿ 10 for which A is a completely nonprojective nonstrict proper ...
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Subspace Learning with Partial Information
... · log(d) (see Theorem 7) on the sample complexity. We note that if is small enough, then the right term in the bound becomes irrelevant, and thus a linear dependence on d/r is obtained (for a detailed comparison, see ...
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On Relevant Dimensions in Kernel Feature Spaces
... the subspace spanned by a number of leading kernel PCA components, trains a linear classifier (for example, by least squares regression) and then measures the prediction error on the test ...considered ...
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Deflation Technique to Accelerate the Convergence of Iterative Solver for the Wave Scattering Problem
... many problem-specific possibilities have been explored. For the problem under consideration, few alternatives have been researched in [25], [9] and ...
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Non-Redundant Overlapping Clustering: Algorithms and Applications
... each subspace cluster is defined as a set of con- nected grid cells where each cell contains a number of objects greater than a threshold ...for subspace clustering: clusters are specified as dense regions ...
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Application of the invariant subspace method in conjunction with the fractional Sumudu’s transform to a nonlinear conformable time-fractional dispersive equation of the fifth order
... The invariant sub- space method along with the fractional Sumudu’s transform in the conformable con- text has been applied for the first time successfully to handle the intended ...
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Symmetry group analysis and invariant solutions of hydrodynamic type systems
... Symmetries, recursions, Hamiltonian structures, and exact solutions of two-compo- nent systems of the hydrodynamic type with one space-dimension were studied by the author mainly before Tsarëv’s publications [29, 30, 31, ...
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A Note on the Structure of Affine Subspaces of L2(Rd)
... affine subspace if and only if X = span D f { j : f ∈ M j , ∈ } for some shift invariant subspace ...affine subspace X of L 2 ( ) d is a reducing subspace if and only if it is shift ...
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Racial Disparity in Social Spatiality: Usage of National Parks and Opera Attendance
... We already learned that Jordan canonical form works on an algebraically closed field F, such as the complex C, but not on real R. The problem is the linear operator T on a finite dimensional vector space V over F ...
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Weak*-closed invariant subspaces and ideals of semigroup algebras on foundation semigroups
... translation invariant subspace of ( ) In this paper, we prove that X is invariantly complemented in ( ) if and only if t he l eft ideal of ( ) has a bounded approximate ...translation invariant ...
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