From Vector Spaces to Functional Analysis

Yutaka Yamamoto is a professor at the department of Applied Analysis and Complex Dynamical Systems, Graduate School of Informatics, Kyoto University, Japan. He is a recipient of the G. S. Axelby Outstanding Paper Award of the IEEE Control Systems Society, the Commendation for Science and Technology by the Minister of Education in Japan, the Distinguished Member Award of the Control Systems Society of the IEEE and various other awards. He has authored or co-authored more than 200 journal or conference papers. He is currently President-elect of the IEEE Control Systems Society and past President of ISCIE Japan. He is a fellow of the IEEE and ISCIE, Japan.

Preface Glossary of Symbols Chapter 1: Vector Spaces Revisited Chapter 2: Normed Linear Spaces and Banach Spaces Chapter 3: Inner Product and Hilbert Spaces Chapter 4: Dual Spaces Chapter 5: The Space L(X,Y) of Linear Operators Chapter 6: Schwartz Distributions Chapter 7: Fourier Series and Fourier Transform Chapter 8: Laplace Transform Chapter 9: Hardy Spaces Chapter 10: Applications to Systems and Control Appendix A: Some Background in Sets, Mappings, Topology Appendix B: Table of Laplace Transforms Solutions Bibliographical Notes Bibliography Index.