Reading List
Completion requirements
- B.P. Rynne and M.A. Youngson, Linear Functional Analysis (Springer SUMS, 2nd edition, 2008), Chapters 3, 4.4, 6.
- E. Kreyszig, Introductory Functional Analysis with Applications (Wiley, revised edition, 1989), Chapters 3, 4.7-4.9, 4.12-4.13, 9.1-9.2.
- N. Young, An Introduction to Hilbert Space (Cambridge University Press, 1988), Chs 1-7.
Further Reading:
- E.M. Stein and R. Shakarchi, Real Analysis: Measure Theory, Integration & Hilbert Spaces (Princeton Lectures in Analysis III, 2005), Chapter 4.
- M. Reed and B. Simon, Methods of Modern Mathematical Physics Vol. I. Functional Analysis (Academic Press, 1980).
- H. Brezis, Functional Analysis, Sobolev Spaces and Partial Differential Equations (Universitext. Springer, 2011).
- P. Lax, Functional Analysis (Wiley, 2012).
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