Introduction to functional analysis
type: Item
instance of: scholarly article
zbMATH Open document ID: 1251.46002
publication date: 2012-06-06T00:00:00Z
Mathematics Subject Classification ID: 46-01
Mathematics Subject Classification ID: 46A22
Mathematics Subject Classification ID: 46A25
Mathematics Subject Classification ID: 46B03
zbMATH DE Number: 6043089
zbMATH Keywords: functional analysis
zbMATH Keywords: partial differential equations
author: M. M. Cavalcanti
author: V. N. Domingos Cavalcanti
MaRDI profile type: Publication
title: Introduction to functional analysis
review text: 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.
reviewed by: Elói M. Galego
description: scientific article; zbMATH DE number 6043089