Function Spaces and Operators between them

José Bonet was born in Valencia in June 1955. He was interested in Mathematics since his childhood. He graduated and obtained his Doctoral degree in Mathematics in the Universitat de València. He became full professor at the Universitat Politècnica de València in 1987. He is full member of the Real Academia de Ciencias de España since 2008. He published many articles and taught courses at master level on functional analysis and operator theory. He likes reading novels, cinema and travelling.David Jornet was born in Ontinyent (Valencia) in July 1976. He has been interested in mathematics since he was a child, partly motivated by his father, who is also a mathematician. He graduated from the Universitat de València and obtained his doctorate from the Universitat Politècnica de València. He is a tenured professor at the Universitat Politècnica de València since 2011. Since 2014, he has taught master’s level classes in function spaces and operator theory. He likes sports, reading and travelling.Pablo Sevilla-Peris was born in Valencia in 1975. Since primary school, he enjoyed learning and trying to understand mathematics. He took his degree at the Universitat de València, where he also did his PhD (with stays in Ireland and Germany). Immediately after he joined the Universitat Politècnica de València, where he has taught several courses on operator theory, functions spaces and related topics at master’s  level. He is full professor since 2021. He plays (amateur) bassoon at the Societat Musical d’Alboraia.

“This essentially self-contained book is concerned with the study of spaces of (differentiable) functions and linear operators between them. For the operators the focus is on linear dynamics and partial differential operators. The book is addressed to master students, and the topics are presented in a very accessible way.” (Christian Bargetz, zbMATH 1545.46001, 2024)

• - 1. Convergence of Sequences of Functions. - 2. Locally Convex Spaces. - 3. Duality and Linear Operators. - 4. Spaces of Holomorphic and Differentiable Functions and Operators Between Them. - 5. Transitive and Mean Ergodic Operators. - 6. Schwartz Distributions and Linear Partial Differential Operators.