Quaternionic Hilbert spaces and operator theory

• المؤلف الرئيسي: Lim, Zhi Xing
• مؤلفون آخرون: Wu Guohua
• التنسيق: Final Year Project
• اللغة: English
• منشور في: Nanyang Technological University 2024
• الموضوعات: Mathematical Sciences; Hilbert spaces; Operator theory; Quaternions
• الوصول للمادة أونلاين: https://hdl.handle.net/10356/181339
• المؤسسة: 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...