Functional Analysis Seminar

Seminar information archive ~03/04Next seminarFuture seminars 03/05~

Date, time & place Wednesday 15:00 - 16:00 370Room #370 (Graduate School of Math. Sci. Bldg.)

2011/04/13

15:00-17:00   Room #128 (Graduate School of Math. Sci. Bldg.)
Alexander Pushnitski (King's College, London)
Spectral theory for functions of self-adjoint operators (ENGLISH)
[ Abstract ]
Let A, B be self-adjoint operators such that the standard assumptions of smooth scattering theory for the pair A, B are satisfied. The spectral theory of the operators of the type f(A)-f(B) will be discussed, with a particular attention to the case of discontinuous functions f. It turns out that the spectrum of f(A)-f(B) can often be explicitly described in terms of the spectrum of the scattering matrix for the pair A,B. This is joint work with D.Yafaev.