University Studies 4-Fall 2012-Suggested Projects from October 11 meeting 

The following three research papers contain the proofs of the theorems which were stated in the October 11 meeting of the seminar (Theorems 5, 6, and 7).

You are not expected to be able to understand completely all of this material right now, but with my help you might be able to, during the course of the seminar.

NOTE: Because Theorems 5,6,7 involve infinite dimensions, these four papers require more tools than the previous references.

However, I have some ideas about how to make these papers more accessible and may discuss them in the seminar

In any case, do not be scared away by these files, as I will be proposing other more accessible ones after each meeting.

These works, as well as other resources, will serve as the basis for your project ("term paper") for the seminar. More on that later in the quarter

The file called "Gradus ad Parnassum" below contains a list of 34 exercises, some of which will be pointed out individually after each meeting of the seminar.

The relevant exercises from the October 11 meeting are numbers 5,6,7 in that file.

Sakai 1966 (for Theorem 5) (pdffile)

Kadison 1966 (for Theorem 5) (pdffile)

Sakai 1960 (for Theorem 6, which subsumes Theorem 1B) (pdffile)

Ringrose 1972 (for Theorem 7) (pdffile)

Gradus ad Parnassum (Exercises 5,6,7) (pdffile)