Here is an additional set ¡­

Here is an additional set of problems for November 17.

Other books that also cover the material of this course and which in addition contain more problems (some with solutions) are:

For the first part on Banach spaces and operators the book "Linear Functional Analysis" (second edition) by Bryan R. Rynne and Martin A. Youngson, Springer Undergraduate Mathematics Series, ISBN 978-1-84800-004-9. Relevant chapters are 1,2, 3, 4, 6.1, 7.1 and 7.3, 8.4.

For integration theory: 1) "Real Analysis", by G. B. Folland. 2) "An introduction to measure and integration" (second edition) by Inder K. Rana, Graduate Studies in Mathematics, vol 45, American Mathematical Society 2002. Chapters 3,4,5. 3) "Measures, Integrals and Martingales" (3rd edition) by Renee Schilling, Cambridge University press.