Note that these are rough estimates.
date | FA section | G Section and Problems? |
Mon Aug 29 | II§14 | §5.2 exercises 5.4, 5.6, 5.7, 5.9 |
Wed Aug 31 | II§15 | §5.3 exercises 5.11 |
Fri Sep 2 | II§16 | §6.4 exercises |
Mon Sep 5 | Labor Day | No Class |
Wed Sep 7 | II§17 | §6.5 exercises 6.12, Additional Equi-cont Problems |
Fri Sep 9 | III §21 | Peano's Thm |
Mon Sep 12 | III §22 | convex set is defined in §6.2 |
Wed Sep 14 | Cauchy-Schwarz (§8) | Chapter 4 exercises 4.5, 4.6, 4.10, 4.23, 4.26 |
Fri Sep 16 | III §23 | functionals in §1.2 and §7.6 exercises |
Mon Sep 19 | III §23 §24 | Dual space |
Wed Sep 21 | III §24 | Exercises 7.2, Additional Functional Problems |
Fri Sep 23 | III §25 | Hahn Banach Thm |
Mon Sep 26 | III §26 | BiDual space |
Wed Sep 28 | III §27 | §7.8 |
Fri Sep 30 | III §28 | Exercises: 7.26, Additional Problems |
Mon Oct 3 | III §28 | 2nd time is the charm |
Wed Oct 5 | III §29 | §8.1 linear operators and Baire Category |
Fri Oct 7 | III §29 | Exercises 8.2, 8.3, 8.5, 8.8, 8.16 |
Mon Oct 10 | Generalized Functions | Distributions |
Wed Oct 12 | Generalized Functions | Distributions |
Fri Oct 14 | Generalized Functions | Exercises 1.6 Additional Problems |
Mon Oct 17 | IV §30 | Spectrum |
Wed Oct 19 | IV §30 | Spectrum |
Fri Oct 21 | IV §31 | Exercises 8.9, 8.26, 8.29(page 377), 6.27(page 376) |
Mon Oct 24 | IV §31 | Compact Operators |
Wed Oct 26 | IV §31 | Compact Operators |
Fri Oct 28 | IV §32 | Problems |
Mon Oct 31 | IV §32 | Fredholm |
Wed Nov 2 | IV §32 | §7.2 Orthogonal bases |
Fri Nov 4 | GS | §7.3 & 7.4 |
Mon Nov 7 | Best Approx | §7.4 & §7.5 |
Wed Nov 9 | Operators on Hilbert | §8.3 & §8.4 |
Fri Nov 11 Veteran | No Class | |
Mon Nov 14 | §8.4 & §8.5 | |
Wed Nov 16 | §8.5 & §9.1 | |
Fri Nov 18 | §9.1 and finite dim | |
Mon Nov 21 | Finite dim via calculus | |
Wed Nov 23 | Positive operators | |
Fri Nov 25 Thanks | ||
Mon Nov 28 | Positive operators §9.2 | |
Wed Nov 30 | Positive operators §9.2 | |
Fri Dec 2 | ||
Mon Dec 5 | ||
Wed Dec 7 | ||
Fri Dec 9 |