A new topology on the space of unbounded selfadjoint operators and the spectral flow
Functional Analysis
2007-05-23 v2 K-Theory and Homology
Abstract
We define a new topology, weaker than the gap topology, on the space of selfadjoint unbounded operators on a separable Hilbert space. We show that the subspace of selfadjoint Fredholm operators represents the functor from the category of compact spaces to the category of abelian groups and prove a similar result for . We define the spectral flow of a continuous path of selfadjoint Fredholm operators generalizing the approach of Booss-Bavnek--Lesch--Phillips.
Cite
@article{arxiv.math/0607783,
title = {A new topology on the space of unbounded selfadjoint operators and the spectral flow},
author = {Charlotte Wahl},
journal= {arXiv preprint arXiv:math/0607783},
year = {2007}
}
Comments
13 pages, Def. of Dom D corrected and minor corrections, more detailed exposition