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Doctorate program: Functional Analysis - Lecture 3: Normed linear spaces: definition and basic...
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Lecture 3: Normed linear spaces: definition and basic properties
Claudio Landim
These lectures are mainly based on the book
"Functional Analysis" by Peter Lax. Lessons 33 to 37 follow
Chapter 4 of the book "Applied Functional Analysis"
by Eberhard Zeidler, volume 108 of Springer's collection Applied
Mathematical Sciences.
There are many other very good references.
For instance, the books by Bachman and Narici,
Brezis, Reed and Simon, Yosida.
Comments, corrections and exercises can be found in my webpage
Hã dois bons livros de análise funcional em português,
O primeiro escrito por De Oliveira
e o segundo por Botelho, Pellegrino e Teixeira.
IMPA - Instituto de Matemática Pura e Aplicada ©
Os direitos sobre todo o material deste canal pertencem ao Instituto de Matemática Pura e Aplicada, sendo vedada a utilização total ou parcial do conteúdo sem autorização prévia e por escrito do referido titular, salvo nas hipóteses previstas na legislação vigente.
The rights over all the material in this channel belong to the Instituto de Matemática Pura e Aplicada, and it is forbidden to use all or part of it without prior written authorization from the above mentioned holder, except in the cases prescribed in the current legislation.
Claudio Landim
These lectures are mainly based on the book
"Functional Analysis" by Peter Lax. Lessons 33 to 37 follow
Chapter 4 of the book "Applied Functional Analysis"
by Eberhard Zeidler, volume 108 of Springer's collection Applied
Mathematical Sciences.
There are many other very good references.
For instance, the books by Bachman and Narici,
Brezis, Reed and Simon, Yosida.
Comments, corrections and exercises can be found in my webpage
Hã dois bons livros de análise funcional em português,
O primeiro escrito por De Oliveira
e o segundo por Botelho, Pellegrino e Teixeira.
IMPA - Instituto de Matemática Pura e Aplicada ©
Os direitos sobre todo o material deste canal pertencem ao Instituto de Matemática Pura e Aplicada, sendo vedada a utilização total ou parcial do conteúdo sem autorização prévia e por escrito do referido titular, salvo nas hipóteses previstas na legislação vigente.
The rights over all the material in this channel belong to the Instituto de Matemática Pura e Aplicada, and it is forbidden to use all or part of it without prior written authorization from the above mentioned holder, except in the cases prescribed in the current legislation.
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