Rank one perturbations with infinitesimal coupling
| Author(s) : | B. Simon A. Kiselev, |
| Publisher : | N/A |
| Publication Date : | 1995 |
| ISSN : | N/A |
| Abstract : | Abstract. We consider a positive self-adjoint operator A and formal rank one pertubrations B = A + ff('; \Delta)' where ' 2 H \Gamma2 (A) but ' = 2 H \Gamma1 (A), with Hs (A) the usual scale of spaces. We show that B can be defined for such ' and what are essentially negative infinitesimal values of ff. In a sense we'll make precise, every rank one perturbation is one of, |