Abstract boundary conditions for maximal sectorial extensions of sectorialoperators

Authors
Arlinskii, Y
Citation
Y. Arlinskii, Abstract boundary conditions for maximal sectorial extensions of sectorialoperators, MATH NACHR, 209, 2000, pp. 5-36
Citations number
23
Categorie Soggetti
Mathematics
Journal title
MATHEMATISCHE NACHRICHTEN
ISSN journal
0025584X → ACNP
Volume
209
Year of publication
2000
Pages
5 - 36
Database
ISI
SICI code
0025-584X(2000)209:<5:ABCFMS>2.0.ZU;2-S
Abstract
The purpose of this paper is to give a description of all maximal sectorial extensions of a given closed densely defined sectorial operator with the v ertex at the origin in terms of abstract boundary conditions. Applications to ordinary and partial second order differential operators as well as one- dimensional Schrodinger operators with a point interaction will be consider ed.