I did a course in introductory functional analysis and liked it. Now I want to learn more functional analysis with the goal of maybe eventually doing research (phd). I tried to find out what (advanced) functional analysis is about here but the list isn't so helpful. From it I gather among other things I want to learn about spectral theory and operator theory but items like "Banach–Mazur theorem" and so on doesn't seem to be a "topic".
Where can I look to get an overview of topics in functional analysis? I want to use the information you can give me to pick a few topics and then books about them to prepare myself. Thank you.