Carleton University · MATH 5008

Real Analysis II (Functional Analysis)

Credits : 0.5 creditReference year : 2026-27

Description

Banach and Hilbert spaces, bounded linear operators, dual spaces. Topics selected from: weak-topologies, Alaoglu's theorem, compact operators, differential calculus in Banach spaces, Riesz representation theorems.

Prerequisites

  • Prerequisite(s): MATH 5007 (MAT 5125) or permission of the School.

Conditions and arrangements

  • Prerequisite(s): MATH 5007 (MAT 5125) or permission of the School.
  • Also offered at the undergraduate level, with different requirements, as MATH 4003 , for which additional credit is precluded.
Reference text in its original language

Banach and Hilbert spaces, bounded linear operators, dual spaces. Topics selected from: weak-topologies, Alaoglu's theorem, compact operators, differential calculus in Banach spaces, Riesz representation theorems.

  • Prerequisite(s): MATH 5007 (MAT 5125) or permission of the School.
  • Also offered at the undergraduate level, with different requirements, as MATH 4003 , for which additional credit is precluded.

Sources and references

Dates and sources are retained to help you verify the information. Translations are provided to facilitate reading; the official source governs conditions and requirements.

Source reference : https://calendar.carleton.ca/grad/courses/MATH/

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