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tma4230:2016v:material [2016-05-12]
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tma4230:2016v:material [2016-05-12] (nåværende versjon)
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| | week 5 | Chapter 3 in Bowers & Kalton | natural embedding, the adjoint of an operator, Volterra operator (Section 3.6.), Construction of new Banach spaces from old (Section 3.7.) Direct sum, quotient space, Calkin algebra | | | week 5 | Chapter 3 in Bowers & Kalton | natural embedding, the adjoint of an operator, Volterra operator (Section 3.6.), Construction of new Banach spaces from old (Section 3.7.) Direct sum, quotient space, Calkin algebra | |
| | week 6 | Chapter 4 in Bowers & Kalton | Baire category theorem and some of its variants as described in the book | | | week 6 | Chapter 4 in Bowers & Kalton | Baire category theorem and some of its variants as described in the book | |
| | week 7 | Chapter 4 in Bowers & Kalton | Open mappging theorem, closed graph theorem, uniform boundedness principle, Banach-Steinhaus theorem, divergent Fourier series via Banach-Steinhaus, Hellinger-Toeplitz {{:tma4230:2016v:thebigtheorems.pdf|Supplement}}theorem | | | week 7 | Chapter 4 in Bowers & Kalton | Open mappging theorem, closed graph theorem, uniform boundedness principle, Banach-Steinhaus theorem, divergent Fourier series via Banach-Steinhaus, Hellinger-Toeplitz theorem {{:tma4230:2016v:thebigtheorems.pdf|Supplement}} | |
| | week 8 | Chapter 4 in Bowers & Kalton | Bounded inverse theorem, Riemann-Lebesgue Lemma, Closed Range Theorem (not in the book). | | | week 8 | Chapter 4 in Bowers & Kalton | Bounded inverse theorem, Riemann-Lebesgue Lemma, Closed Range Theorem (not in the book). | |
| | week 9 | Chapter 4 and 5 in Bowers & Kalton | Projections in Banach spaces, complemented subspaces, Basic notions of topology and topological vector, weak topology spaces | | | week 9 | Chapter 4 and 5 in Bowers & Kalton | Projections in Banach spaces, complemented subspaces, Basic notions of topology and topological vector, weak topology spaces | |