Gezintiyi atla.

Fonksiyonel Analiz

Dates: December 7 – 13, 2008. (Seven full days)

The actual state of the program is below. Each talk will last 110 minutes with a break of 10 minutes in the middle. The timetable will be available later.

If you want to propose a lecture please write to Ali Nesin (anesin [at] bilgi [dot] edu [dot] tr) Single talks are welcome. Graduate students may expose their ongoing research.

No registration fee. For accomodation and three nefis meals a day: 20 YTL/day for students (or whatever they can afford), 30 YTL/day for assistants and staff, 60 YTL for those who have a research grant. There are some pensions at Sirince as well.

We may arrange a bus from Istanbul to Sirince. Please register before 01.12.2008 so that we have time to do the necessary arrangements.

For registration write to aslicankorkmaz [at] nesinvakfi [dot] org, for information anesin [at] bilgi [dot] edu [dot] tr.

 

      I. Introduction to Banach Spaces by Ali Nesin

Prerequisites: Mathematical maturity.

 

II. Introduction to Spectral Theory by Selçuk Demir

Hilbert Spaces. Operators on Hilbert spaces, adjoint of an operator, compact operators. Spectral theorem for compact self-adjoint operators. Some applications to group representations

Prerequisites: Basic real and complex analysis, linear algebra and some measure theory (Specially for some interesting examples).


III. Vector Lattices, Banach Lattices and Positive Operators by Zafer Ercan

References:

[1] A.W. Wickstead, http://www.qub.ac.uk/puremaths/Staff/Anthony%20Wickstead/Positivity%20V/AWW1.pdf

[2] C.D. Aliprantis and O. Burkinshaw, Positive Operators, 1985.

[3] M. Nieberg, Banach Lattices, 1992.