|
|||||
|
|
Smooth rank one perturbations of selfadjoint operators |
|
| Authors: | S. Hassi H. S. V. de Snoo A. D. I. Willemsma |
| Affiliation: | Department of Statistics University of Helsinki PL 54, 00014 Helsinki Finland ; Department of Mathematics University of Groningen Postbus 800, 9700 AV Groningen Nederland |
| Abstract: | Let  be a selfadjoint operator in a Hilbert space  with inner product ![$[cdot,cdot]$](http://www.ams.org/proc/1998-126-09/S0002-9939-98-04335-4/gif-abstract/img4.gif){kind=small} . The rank one perturbations of  have the form ![$A+tau[cdot,omega] omega$](http://www.ams.org/proc/1998-126-09/S0002-9939-98-04335-4/gif-abstract/img6.gif){kind=small} ,  , for some element  . In this paper we consider smooth perturbations, i.e. we consider  for some  . Function-theoretic properties of their so-called  -functions and operator-theoretic consequences will be studied. |
| Keywords: | Rank one perturbation moments selfadjoint extension $Q$-function Friedrichs extension |
| 点击此处可从《Proceedings of the American Mathematical Society》浏览原始摘要信息 | |
| 点击此处可从《Proceedings of the American Mathematical Society》下载全文 | |