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Student representative: Anir Moutanabbi ( anirmou[at]gmail.com )

The final exam in MAT4340 will be written, on December the 4th at 9:00 (3 hours)

First lecture Tuesday August the 25-th :

Possible changes of time/place will be discussed.

Short review of basic notions from metric spaces and of the theory of Lebesgue integration, Sections 1.2-1.3.

Welcome to MAT 4340 Elementary Functional Analysis.

Tentative syllabus:

The relevant material for the exam consists of the following chapters from the book Linear Functional Analysis, by Rynne and Youngson:

Chapter 1, chapter 2, chapter 3, chapter 4 (except the proofs of 4.43, 4.44, 4.45, 4.52 and 4.53), section 5.1, section 5.3 (only 5.19-without proof, 5.21 and 5.22), section 5.5 (only up to 5.41), chapter 6, chapter 7, and, in addition to this, the exercises that have been assigned during the semester. Also, look at all other exercises in the book which are relevant to the theory as listed above.

Suggestions for additional reading:

Peter D. Lax: Functional Analysis, 2002. Wiley. ISBN: 0-471-55604-1.

Lax's book covers the syllabus requirements for the courses MAT4340 and MAT4350, and goes deeper into applications. However, it contains a lot more material than required f...