Introduction to functional analysis
This book is written in Portuguese and is a collection of basic results of functional analysis and the theory of partial differential equations. Its content is organized in a detailed way and is presented in a manner that most of the preliminary results are contained therein.NEWLINENEWLINEIt has seven chapters: 1. Hahn-Banach theorems and the convex conjugate function theory. 2. Banach-Steinhaus and closed graph theorems. 3. Weak topologies. 4. Hilbert spaces. 5. The spectral theory. 6. Introduction to partial differential equations. 7. Problems of evolutions.NEWLINENEWLINEIt differs from classic books in the same area by its way of presentation and the wealth of detail in the proofs. Thus, it is very useful for those who are starting their studies in partial differential equations.
scientific article; zbMATH DE number 6043089