Abstract: The author gives several definitions, including the definition of linear vector spaces, inner products, and Hilbert spaces. He defines linear operators and the Hilbert adjoint operator, and ...
The RH proof presents a complete resolution of the Riemann Hypothesis (RH) based on a spectral-theoretic construction. The core idea is the realization of a self-adjoint operator whose spectrum ...
In this paper, the algebraic, geometric and analytic multiplicities of an eigenvalue for linear differential operators are defined and classified. The relationships among three multiplicities of an ...
ABSTRACT: In this paper, the algebraic, geometric and analytic multiplicities of an eigenvalue for linear differential operators are defined and classified. The relationships among three ...
Abstract: In a recent study we developed a fast and accurate algorithm to compute Global Positioning System (GPS) Slant Total Delay (STDs) utilizing numerical weather model data. Having developed a ...
Operator algebras and functional analysis form a foundational framework in modern mathematics, interlinking abstract algebraic structures with analytic techniques to study infinite‐dimensional spaces.