Doctorate program Functional Analysis Lecture 35 The Fredholm alternative













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Lecture 35: The Fredholm alternative • Claudio Landim • Previous lectures: http://bit.ly/2Z3qzIM • 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 • http://w3.impa.br/~landim/ • 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 © • http://www.impa.br | http://impa.br/videos   •   • 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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