Speaker: Marzieh Forough (Ferdowsi Univ. Mashhad)

Title: Stability of Fredholm property of regular operators on Hilbert C^*-modules

Date/Time: January 30 (Wed.), 2013, 9:45-10:45

Room: 123 Math. Sci. Building

Abstract: In this talk, I discuss the stability of Fredholm property of regular operators on Hilbert C^*-modules under some certain perturbations. I first treat this problem when perturbing operators are small bounded adjointable operators or compact operators. Then I study the perturbation of self-adjoint regular Fredholm operators by self-adjoint regular relatively compact operators and self-adjoint regular relatively bounded operators. I also consider the stability of Fredholm property of regular operators in terms of the gap metric. Finally, as an application of these results, I construct some continuous paths of self-adjoint regular Fredholm operators with respect to the gap metric.