Sumários

Lecture 21

28 Novembro 2024, 10:30 • Maria Teresa Faria da Paz Pereira

1st and 2nd Baire Category Theorems (1st BCT without proof). 
Open Mapping Theorem. Closed Graph Theorem (CGT).  Examples and counter-examples.

(Lecture with extra time.)

Lecture 20

25 Novembro 2024, 10:30 • Maria Teresa Faria da Paz Pereira

(This lecture did not occur today, but it was compensated with extra time in other ones.)

Lecture 19

21 Novembro 2024, 11:00 • Maria Teresa Faria da Paz Pereira

Hahn-Banach Theorem - 2nd geometric version: end of the proof. Example of application

(This lecture had an extra time of 45 minutes.)

TP 10

21 Novembro 2024, 10:30 • Maria Teresa Faria da Paz Pereira

Correction of assignment 4.
Resolutions of exercises for Chapter II.

Lecture T18

18 Novembro 2024, 10:30 • Maria Teresa Faria da Paz Pereira

Consequences of the Hahn-Banach Theorem (cont.) Affine hyperplanes. Hahn-Banach Theorem-geometric versions.