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Triple variational principles for self-adjoint operator functions
journal contribution
posted on 2023-06-08, 18:46 authored by Matthias Langer, Michael StraussFor a very general class of unbounded self-adjoint operator function we prove upper bounds for eigenvalues which lie within arbitrary gaps of the essential spectrum. These upper bounds are given by triple variations. Furthermore, we find conditions which imply that a point is in the resolvent set. For norm resolvent continuous operator functions we show that the variational inequality becomes an equality.
History
Publication status
- Published
File Version
- Published version
Journal
Journal of Functional AnalysisISSN
0022-1236Publisher
ElsevierExternal DOI
Issue
6Volume
270Page range
2019-2047Department affiliated with
- Mathematics Publications
Full text available
- Yes
Peer reviewed?
- Yes