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Showing 1 to 18 of 18 for “"Krein"”.
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Glazman-Krein-Naimark theory, left-definite theory, and the square of the Legendre polynomials differential operator.
… conditions using the classical GKN (Glazman-Krein-Naimark) theory. In addition, we determine a new characterization of D(A2) that involves four non-GKN boundary conditions. These new boundary conditions are surprisingly simple and natural, and are equivalent to the boundary conditions …
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A Naive, Robust and Stable State Estimate
… to be included are the classic Kalman filter, Krein space Kalman, two adjustments to the Krein filter with input modeling and a second uncertainty parameter, a newly developed filter called the Naive filter, bias corrected Naive, exponentially weighted moving average (EWMA) Naive, and bias …
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Multivariable Interpolation Problems
… multipliers on Fock space. We apply the Krein-space geometry approach (also known as the Grassmannian Approach). To implement this approach J-versions of Beurling-Lax representers for shift-invariant subspaces are required. Here we obtain these J-Beurling-Lax theorems by the state-space …
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Boundary value and Wiener-Hopf problems for abstract kinetic equations with nonregular collision operators
… larger space H<sub>T</sub>, which has a natural Krein space structure. Using the Krein space geometry considerably simplifies the analysis of the question of unique solvability.
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Vague convergence of spectral shift functions for periodic restrictions of one-dimensional Schrodinger operators
… The approach employed relies on the use of a Krein-type resolvent identity to relate the resolvent of the operator with periodic boundary conditions to the corresponding operator with Dirichlet boundary conditions in combination with various operator theoretic facts.
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Topics in spectral theory of differential operators /
… for the eigenvalue counting function for the Krein-von Neumann extension of differential operators on open bounded subsets of R n. In the second part of this thesis we obtain a formula relating the Maslov index, a topological invariant counting the signed number of conjugate points of paths of …
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Comparison of smallest eigenvalues and extremal points for third and fourth order three point boundary value problems.
… of the fourth order problem. Extremal points via Krein-Rutman theory are then found. Analogous results are then obtained for the eigenvalue problems u‴ + λ₁p(x)u = 0 and u‴ + λ₂q(x)u = 0, with each satisfying u(0) = u′(r) = u″(1) = 0, 0 < 1/2 < r < 1.
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State diagrams for bounded and unbounded linear operators
… and ф₋-operators in Banach spaces of Gokhberg-Krein [GK]. Examples are given of F₊- and F₋-operators. Also, in Chapter III, the main theorems needed to construct the state diagrams of Chapter IV are discussed. The state diagrams of Chapter IV are based on states corresponding to F₊- and …
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Similarity Solutions for the Two-Dimensional Diffusion–Advection Equation in Sharp-Corner Geometries
… and the strong maximum principle, we invoke the Krein-Rutman theorem to establish the existence and domain-size monotonicity of the principal eigenvalue. We then investigate how varying domain length and corner angle affect the magnitude of the principal eigenvalue, observing an inverse …
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The sixth-order Krall differential expression and self-adjoint operators.
… Wellman as an application of the general Glazman-Krein-Naimark (GKN) Theorem discovered by W. N. Everitt and L. Markus using complex symplectic geometry. In order to explicitly construct this self-adjoint operator, we use properties of functions in the maximal domain in L2(-1, 1) of the Krall …
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Combinatorial aspects of total positivity
… While this theory was pioneered by Gantmacher, Krein, and Schoenberg in the 1930s, the past decade has seen a flurry of research in this area initiated by Lusztig. Motivated by surprising positivity properties of his canonical bases for quantum groups, Lusztig extended the theory of total …
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Spectral Analysis of Complex Dynamical Systems
… boundary operators acting in finite dimensional Krein space (the space with indefinite inner product). The main results of this research are published in [50]. The Hypothalamic Pituitary Adrenal (HPA) axis responds to physical and mental challenge to maintain homeostasis in part by controlling …
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Effects of Living in a Single-Parent Family on Educational Attainment of Young Men and Women and on Earnings of Young Men (Achievement)
Whether long-term consequences of living in a single-parent family exist is a growing public concern. This study examines the effect of living in a single-parent family headed by a female on two long-run measures of achievement: educational attainment and earnings. The effect is examined within a …
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Utilisation of efficient reactions to combine moeities exhibiting biological activity to produce novel anti-infectives against HIV and malaria
Chloroquine (CQ) was previously identified as a potential anti-HIV agent and reported to inhibit the production of infectious viral particles at concentrations which are non toxic to human cultured cells. It is speculated that this activity is associated with the decreased production of the heavily …
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Oil and Politics in North Dakota
In the past decade, North Dakota has experienced a substantial shift in economic and political activity due to oil. In addition to jobs and revenue, corporate interests have surged into the state with a dominating force. As players in a highly valued industry, oil companies have worked hard to …
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The Convex Integration Paradigm in Stochastic Fluid Dynamics
… leads to the stationarity of solutions, while Krein--Milman's theorem even ensures their ergodicity. Additionally, a novel energy-related functional is introduced into the convex integration scheme, enabling not only the construction of ergodic solutions but also of Leray--Hopf solutions, i.e. …
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Rank constrained homotopies of matrices and the Blackadar-Handelman conjectures on C*-algebras
… through a simple application of Krein-Milman Theorem we note that <em>DF</em>(<em>A</em>)=<em>LDF</em>(<em>A</em>) and that <em>DF</em>(<em>A</em>) is affinely homeomorphic to <em>QT</em>(<em>A</em>). Together with results on the first conjecture this confirms the second …