It seems like it aims at giving somebody who would like to get started doing theoretical research in the field some pointers and basic insights. I don't think i

It seems like it aims at giving somebody who would like to get started doing theoretical research in the field some pointers and basic insights. I don't think it does a particularly bad job at this, in particular given that it will be a book chapter? The target audience are probably people who have had some exposure to Functional Analysis and the likes before.