Quaternionic Hilbert spaces and operator theory

• Main Author: Lim, Zhi Xing
• Other Authors: Wu Guohua
• Format: Final Year Project
• Language: English
• Published: Nanyang Technological University 2024
• Subjects: Mathematical Sciences; Hilbert spaces; Operator theory; Quaternions
• Online Access: https://hdl.handle.net/10356/181339
• Institution: Nanyang Technological University

This report serves to study Hilbert spaces and operator theory over skew fields. In particular, we will study these topics over the quaternions since it has been well-developed, and explore the properties of quaternionic linear operators, adjoint and normal operators. Operators over quaternionic Hil...