Recommended exercises

26 Setembro 2017, 09:36 • Luís Fernando Sanchez Rodrigues

Week 1: From the book of Cheney, sect 2.1: 4,7,13,14, 15, 18, 22, 23, 24, 30, 33, 38, 42; Sect. 2.2: 13, 19, 25

From the Munich course, section "inner product spaces": 5, 6, 9

Week 2: From the book of Cheney, sect. 1,1: 15; sect 1,2: 16, 18, 20, 25, 34, 40, 47;  sect. 1.3 - 2; sect. 1.4 - 10, 12, 17.

Week 3: From the book of Cheney, sect. 1.7: 10, 12, 18, 38-41, 42, 44.

Week 4: From the book of Cheney, sect. 2.3: 2, 3, 6, 27.

Additional question: for what values of p is 

x---> \sum _{i=1}^\infty (8x_i/\sqrt i) 

a continuous linear functional defined in l^p ?

Week 5: From the book of Cheney, sect. 1.8: 2, 3, 4, 5, 7, 9, 10. Sect. 1.6: 8-12.

Week 6: From the book of Cheney sect 1.6: 8,9,10,11,12, 15, 16, 19, 21.

                                                        sect 8.7: 5,10, 13, 14, 16, 20, 22.

Week 7:  From the book of Cheney sect 7.4: 1, 2, 3, 4, 5

                                                         See also list of additional problems (separation of convex sets; Stone-Weierstrass; C^0,a-spaces) sent by e-                                                             mail

Weeks 8-9: From the book of Cheney sec 1.9: 5, 6, 7. Sect. 1.10: 1, 2.

Week 10: From the book of Cheney sec 2.3: 23, 25, 26