TP 4

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

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Lecture 8

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

Adjoint operators (cont.).

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Lecture 7

9 Outubro 2023, 10:30 • Maria Teresa Faria da Paz Pereira

Adjoint of a bounded operator between Hilbert spaces: definition, properties and examples. Adjoint of Fredholm and Volterra integral operators.

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TP 3

4 Outubro 2023, 11:30 • Maria Teresa Faria da Paz Pereira

Resolution of exercises (including the proof that a Hilbert space is separable if and only it has a Hilbert basis).

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Lecture 6

4 Outubro 2023, 11:00 • Maria Teresa Faria da Paz Pereira

(Generalized) Fourier series and Parseval identity. All separable infinite dimensional Hilbert spaces are isomorphic and isometric to l^2. Remarks. An example of a non-separable Hilbert space.

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