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Triple variational principles for self-adjoint operator functions

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posted on 2023-06-08, 18:46 authored by Matthias Langer, Michael Strauss
For 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.

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Publication status

  • Published

File Version

  • Published version

Journal

Journal of Functional Analysis

ISSN

0022-1236

Publisher

Elsevier

Issue

6

Volume

270

Page range

2019-2047

Department affiliated with

  • Mathematics Publications

Full text available

  • Yes

Peer reviewed?

  • Yes

Legacy Posted Date

2016-02-08

First Open Access (FOA) Date

2016-02-08

First Compliant Deposit (FCD) Date

2016-02-08

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