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http://www.math.ualberta.ca/~runde/files/math516-notes.pdf

1. J. B. Conway,

*A Course in Functional Analysis*. Springer Verlag, 1985.

Other recommended books are:

2. B. Bollobás,

*Linear Analysis. An Introductory Course*, Second Edition. Cambridge University Press, 1999.

3. N. Dunford and J. T. Schwartz,

*Linear Operators*, I. Wiley-Interscience,

4. G. K. Pedersen,

*Analysis Now*. Springer Verlag, 1989.

5. W. Rudin,

*Functional Analysis*, Second Edition. McGraw-Hill, 1991.

Linear analysis: an introductory course