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I work in the field of Statistics. My supervisor has asked me to go through the basic, foundational elements of Functional Analysis. I have about a week before I report to him. My preliminary knowledge in Mathematics includes real analysis (measure and integration), linear algebra and basics of metric-space topology. I'd much appreciate if someone can provide me a book / notes / video-lectures or any other resource to learn the basics of functional analysis in about a week of time. Thanks in advance.

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OCW: Introduction to functional analysis.

Lecture notes by Richard Melrose.

More lecture notes.

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