Syllabus/achievement requirements

This course consists of two (at times closely interrelated) parts:

Part I: Measure and integration

Part II: Linear operators, mostly on Hilbert spaces

Literature:

  •  "A course in real analysis" by John McDonald and Neil Weiss, 2nd edition.
  •  Notes on Elementary Linear Analysis. These will be made available during the semester: 
  • Chapters 1 and 2 
  • Sections 3.1 and 3.2 Section 3.3 and Exercices for Chapter 3 
  • Sect. 4.1 Exercices for Sect. 4.1 Sect. 4.2(old) Sect. 4.2 (corrected) Exercises for Sect. 4.2 Sect. 4.3 Exercises for Sect. 4.3 Sect. 4.4 Sect 4.5 Exercises for Sect. 4.4 and 4.5
  • Sect. 5.1 Sect.5.2 Sect 5.3 Exercises for 5.1-5.2-5.3(some typos corrected!)
  • The whole set of notes, updated May 20

The curriculum:

The following sections from McDonald and Weiss:

  • 1.4

  • 3.1-3.4,

  • 4.1-4.4,

  • 5.1-5.4,

  • 6.1-6.2, except the section on the Lebesgue-Stieltjes Integral

  • All of the notes on Elementary Linear Analysis, except the proofs in section 5.3.

Published Dec. 20, 2017 1:02 PM - Last modified Feb. 27, 2023 12:02 PM