Matrix Compact Sets and Operator Approximation Properties [PDF]
The relationship between the operator approximation property and the strong operator approximation property has deep significance in the theory of operator algebras. The original definitions of Effros and Ruan, unlike the classical analogues, make no mention of compact operators or compact sets.
arxiv
Early Language Impairment as an Integral Part of the Cognitive Phenotype in Huntington's Disease
ABSTRACT Objective Huntington's disease (HD) speech/language disorders have typically been attributed to motor and executive impairment due to striatal dysfunction. In‐depth study of linguistic skills and the role of extrastriatal structures in HD is scarce.
Arnau Puig‐Davi+13 more
wiley +1 more source
On Regular Operator Approximation Theory
AbstractIn this paper the approximation-solvability of nonlinear operator equations involving φ-pseudo-monotone operators and their compact perturbations is considered not by the projection methods, but by a more general method of regular operator approximation theory-an improvement over the usual convergence method of approximate solutions in the ...
openaire +4 more sources
A Criterion for Hill Operators to be Spectral Operators of Scalar Type [PDF]
We derive necessary and sufficient conditions for a Hill operator (i.e., a one-dimensional periodic Schr\"odinger operator) $H=-d^2/dx^2+V$ to be a spectral operator of scalar type. The conditions show the remarkable fact that the property of a Hill operator being a spectral operator is independent of smoothness (or even analyticity) properties of the ...
arxiv
A 14‐Year Study of Serum Glial Fibrillary Acidic Protein and Total Tau in Premanifest Huntington's
ABSTRACT There is a pressing need for blood biomarkers that can identify Huntington's disease (HD) gene carriers' proximity to manifest disease. We previously examined serial serum neurofilament light (NfL) concentrations in 21 premanifest HD gene carriers and 14 controls over 14 years, finding that NfL demonstrates high prognostic value and distinct ...
Natalia E. Owen+8 more
wiley +1 more source
Existence results for regularized equations of second-grade fluids with wall slip
In this paper, we study the equations governing the steady motion of a class of second-grade fluids in a bounded domain of $\mathbb{R}^n$, ${n=2,3}$, with the nonlinear slip boundary condition.
Evgenii Baranovskii
doaj +1 more source
The behavior of functions of operators under perturbations [PDF]
This is a survey article. We consider different problems in connection with the behavior of functions of operators under perturbations of operators. We deal with three classes of operators: unitary operators, self-adjoint operators, and contractions. We study operator Lipschitz and operator differentiable functions.
arxiv
Myostatin Levels in SMA Following Disease‐Modifying Treatments: A Multi‐Center Study
ABSTRACT Objective This study investigated myostatin levels in SMA patients receiving disease‐modifying therapies (DMTs) to understand their relationship with treatment duration and functional status. Methods Our study includes both cross‐sectional and longitudinal analyses of myostatin levels in treated SMA patients.
Fiorella Piemonte+23 more
wiley +1 more source
Uniqueness Properties in the Theory of Differential Operators of Elliptic Type [PDF]
Avner Friedman
openalex +1 more source
Newton-Wigner position operator and its corresponding spin operator in relativistic quantum mechanics [PDF]
A relativistic spin operator is to be the difference between the total and orbital angular momentum. As the unique position operator for a localized state, the remarkable Newton-Wigner position operator, which has all desirable commutation relations as a position operator, can give a proper spin operator.
arxiv