Sumários

Lecture 17

5 Novembro 2025, 11:00 Maria Teresa Faria da Paz Pereira

Hahn-Banach Theorem (complex version). Some important consequences of the Hahn-Banach Theorem. The notation of bidual.


TP8

3 Novembro 2025, 11:30 Maria Teresa Faria da Paz Pereira

Continuation of Lecture 16.
Exercises about spectral decomposition of self-adjoint compact operators in Hilbert spaces.


Lecture 16

3 Novembro 2025, 10:30 Maria Teresa Faria da Paz Pereira

Riesz's Lemma; consequences. 
Hahn-Banach Theorem - real version.


Lecture 15

29 Outubro 2025, 11:00 Maria Teresa Faria da Paz Pereira

Exercises and results about compact linear operators and compact self-adjoint linear operators.


TP7

27 Outubro 2025, 11:30 Maria Teresa Faria da Paz Pereira

Continuation of Lecture 14.