Capacity in abstract Hilbert spaces and applications to higher order differential operators

Authors
Noll, A
Citation
A. Noll, Capacity in abstract Hilbert spaces and applications to higher order differential operators, COMM PART D, 24(3-4), 1999, pp. 759-775
Citations number
23
Categorie Soggetti
Mathematics
Journal title
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS
ISSN journal
03605302 → ACNP
Volume
24
Issue
3-4
Year of publication
1999
Pages
759 - 775
Database
ISI
SICI code
0360-5302(1999)24:3-4<759:CIAHSA>2.0.ZU;2-W
Abstract
This paper introduces the notion of capacity in abstract Hilbert spaces. It is approved that the spectral shift of a self-adjoint operator which is su bject to a domain perturbation can be estimated in terms of this capacity. The results are finally applied to higher-order partial differential operat ors.