An Examination of Hilbert Spaces

Author

FNU Sumaiya

Date of Award

12-2024

Document Type

Independent Study

Degree Name

Master of Science (MS)

Department

Mathematics

First Advisor

Dr. Ryan Zerr

Abstract

This independent study focuses on the exploration of Hilbert spaces, a cornerstone of modern analysis and a fundamental construct in mathematics. It starts by introducing vector space, metric and metric spaces and then Hilbert spaces and its properties.

This study includes good amount of mathematical proofs, theorems and examples. Through extensive research and analysis, this independent study aims to offer a comprehensive examination of Hilbert spaces, detailing their properties and their pivotal role in modern analysis.

Comments

DOI: doi.org/10.31356/theses6620

Recommended Citation

Sumaiya, FNU, "An Examination of Hilbert Spaces" (2024). Theses and Dissertations. 6620.
https://commons.und.edu/theses/6620