Análise Funcional - Matemática - Sem Ramos - Especialidades

ECTS / Credit Units
Year: 3 / 2º Semestre
Plan: 2015/16
Scientific Area: MAT
Level: Intermédio

Semestral Hour Load

Theorical: 48.00
Theorical-Pratical: 32.00
Pratical and Laboratorial:


Assigned Internship Hours:
Assigned Projects Hours:
Assigned Fieldwork Hours:
Assigned Study Hours:
Assigned Evaluation Hours:

Degree having this Course

Degree - Branch Degree Plan Year
Matemática - Sem Ramos - Especialidades 2015/16

Teaching Staff

José Luís da Silva
José Luís da Silva

Responsável pelas Pautas
Ensino teórico
Ensino teórico-prático

Course Information

Course Objectivs

1 Show, identify, construct (in)complete metric and normed spaces.

2 Hilbert spaces, definition, examples, construction and properties.

3 Linear operators and functionals. Representation of linear functionals. 

Evaluation Criteria

Exam evaluation: model A with two frequencies weight 50% each.


Program Resume (get program detail)

1. Supplements on metric and normed spaces

2. Hilbert spaces

3. Linear operators and dual spaces

Main Bibliography

[Kre78] E. Kreyszig. Introductory Functional Analysis with Applications. John Wiley & Sons, 1978.

[RY08] Rynne, B. P.; Youngson, M. A. Linear Functional Analysis; Springer London: London, 2008.


Other Biographical Sources / Support Documents

[DS88]N.Dunford and J.T. Schwartz. Linear Operators. Interscience Publishers, New York Chichester Brisbane Toronto, 1988.

[FK82] S.V. Fomin and A.N. Kolmogorov. Elementos da Teoria das Funções e de Análise Funcional. Mir.Moscou, 1982.

 [RN90]F. Riesz and B.Sz. Nagy. Functional Analysis. Dover Publications, Inc., New York, 1990.

[RS75] M. Reed and B. Simon. Methods of Modern Mathematical Physics, volume I. Academic Press, Inc., New York and London, 1975.

Apontamentos da cadeira de Análise Funcional disponíveis no endereço da cadeira

Student Support

2h/week according to students availability.

Associated Links


2h/semana a combinar o os alunos


Connect to Forum Análise FuncionalLink Externo