Sumários

Problems 2

23 Setembro 2026, 11:30 • Maria Teresa Faria da Paz Pereira

More examples and exercises about normed spaces and bounded linear operators on normed spaces.


Lectures 3

23 Setembro 2026, 10:30 • Maria Teresa Faria da Paz Pereira

The subspace c_0 of l^\infty. The Lebesgue spaces L^p (1\le p\le \infty) (brief revision).

Linear spaces with an inner product and Hilbert spaces: general properties and examples. Projection on complete convex sets.


Lecture 2

21 Setembro 2026, 10:30 • Maria Teresa Faria da Paz Pereira

Bounded linear operators between two normed spaces E,F; the operator norm on L(E,F); examples; properties of L(E,F). The spaces l^p (1\le p\le \infty) are Banach spaces. 


Problems 1

16 Setembro 2026, 11:30 • Maria Teresa Faria da Paz Pereira

Continuation of Lecture 1.


Lecture 1

16 Setembro 2026, 10:30 • Maria Teresa Faria da Paz Pereira

Presentation of the course: syllabus, bibliography, assessment. 
Revisions about normed spaces: definitions and examples; completeness and completion; compactness.