Barioli, Francesco; Cox, Christopher L. (Christopher Lee)
University of Tennessee at Chattanooga
Place of Publication
In this project, we investigate positive definite sequences and their associated Jacobi matrices in Hilbert space. We set out to determine the Jacobi matrix associated to the Hilbert sequence by methods described in Akhiezer’s book The Classical Moment Problem. Using methods in Teschl’s book Jacobi Operators and Completely Integrable Nonlinear Lattice, we determine the essential spectrum of the corresponding Jacobi matrix.
My thanks to the University of Tennessee at Chattanooga’s Department of Mathematics and Honors College for allowing me to do this project. Thank you Dr. Roger Nichols who guided me on this project.
B. A.; An honors thesis submitted to the faculty of the University of Tennessee at Chattanooga in partial fulfillment of the requirements of the degree of Bachelor of Arts.
Jacobi operators; Functional analysis
v, 20 leaves
Beckler, Caleb, "The Hilbert sequence and its associated Jacobi matrix" (2023). Honors Theses.