Course website for מושגי יסוד באנליזה
(first year graduate course in functional analysis)

Here are the notes I lectured from (they are rough, and were intended only as my guide in the lectures).  They follow Rudin's functional analysis text for the most part, except for the last TeX'd file.  I recommend also looking at some of the nice material on Paul Garrett's website.

Topological Vector Spaces

Locally Compact Spaces

Metrizability and Bounded Operators

Seminorms and Local Convexity

Examples of Topological Vectors Spaces

Baire Category and the Banach-Steinhaus Theorem

Continuous Linear Maps

Hahn-Banach Theorem

Banach-Alouglu and Krein-Milman Theorems

Some Applications to Function Theory

Duals in Banach Spaces

Subspaces and Quotients

Adjoints and Compact Operators

Distributions as Linear Functionals

Working with Distributions

The Localization Theorems

Extra lecture notes on distributions (TeX'd).