Sumários

Lecture 19

22 Novembro 2023, 11:00 • Maria Teresa Faria da Paz Pereira

1st and 2nd Baire Category Theorems (1st BCT without proof).
Open Mapping Theorem.

Lecture 18

20 Novembro 2023, 10:30 • Maria Teresa Faria da Paz Pereira

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

TP 8

15 Novembro 2023, 11:30 • Maria Teresa Faria da Paz Pereira

Resolution of exercises of Chapter II.

Lecture 17

15 Novembro 2023, 11:00 • Maria Teresa Faria da Paz Pereira

Consequences of the Hahn-Banach Theorem (cont.)

Lecture 16

13 Novembro 2023, 10:30 • Maria Teresa Faria da Paz Pereira

Hahn-Banach Thorem (real version): end of the proof.
Hahn-Banach Thorem (complex version). Some important consequences of the Hahn-Banach Thorem. A normed space E as a subset of the bidual space E''.