### Bernd Thaller

Institut f. Mathematik

Universität Graz

A-8010 Graz, Austria

e-mail: bernd.thaller@kfunigraz.ac.at

## A criterion for essential self-adjointness

### Abstract:

We prove some facts about the essential self-adjointness of a symmetric operator T in a Hilbert space H. The main tools are bounded commutators of T with a suitable sequence of bounded self-adjoint operators. A special case is a Theorem of Jörgens and Chernoff stating that the essential self-adjointness of the Dirac operator in an external field depends only on the local properties of the potential.

(Journal of Operator Theory, 31 (1994), 351-361)

### Download article:

postscript file (ASCII), including all fonts (1.3 MB)

postscript file (ASCII), without fonts (256K)

dvi file (54K)

text file with tex source (94K)

pdf file for use with Adobe Acrobat (160K)

Bernd Thaller

Institute of Mathematics

University of Graz.

Page design of course by: Bernd Thaller.

last changed: 03-21-1997