TP4

10 Outubro 2024, 11:00 • Maria Teresa Faria da Paz Pereira

Correction of assignment 1. Correction of exercises of Chap. 1.

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Lecture 7

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

Fourier series relative to a Hilbert basis in Hilbert spaces (cont.)

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Lecture 6

7 Outubro 2024, 10:30 • Maria Teresa Faria da Paz Pereira

Hilbert bases for pre-Hilbert spaces; separable spaces. Examples of separable and non-separable Hilbert spaces. Bessel inequality. Fourier series relative to a Hilbert basis in Hilbert spaces and Parseval identity. Every separable, infinite dimensional Hilbert space is isomorphic and isometric to l^2.

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TP 3

3 Outubro 2024, 11:00 • Maria Teresa Faria da Paz Pereira

Examples and exercises about pre-Hilbert and Hilbert spaces.

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Lecture 5

3 Outubro 2024, 10:30 • Maria Teresa Faria da Paz Pereira

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