Lecture 14

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

Banach spaces: examples; the spaces c_0 and c of l^\infty are closed. Quotient spaces E/M, for E a normed space and M a closed linear subspace: definition; norm in E/M; first properties; the canonical map and its properties. Linear hyperplanes, and their relation with linear functionals.

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TP7

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

Correction of exercises of Chap. 1, about applications of the theorem of spectral decomposition for compact self-adjoint operators.

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Lecture 13

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

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Lecture 12

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

Point spectrum of compact self-adjoint operators: main properties. Theorem of spectral decomposition of a compact self-adjoint operator.

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TP 6

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

Correction of assignment 2. Correction of exercises of Chap. 1.

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