On Equivalence and Linearization of Operator Matrix Functions with Unbounded Entries
(2017) In Integral Equations and Operator Theory 89(4). p.465-492- Abstract
In this paper we present equivalence results for several types of unbounded operator functions. A generalization of the concept equivalence after extension is introduced and used to prove equivalence and linearization for classes of unbounded operator functions. Further, we deduce methods of finding equivalences to operator matrix functions that utilizes equivalences of the entries. Finally, a method of finding equivalences and linearizations to a general case of operator matrix polynomials is presented.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/d1d7d3e2-c9c7-49bd-b507-9efb7f9a0cc6
- author
- Engström, Christian LU and Torshage, Axel
- publishing date
- 2017-12-01
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- Block operator matrices, Equivalence after extension, Operator functions, Spectrum
- in
- Integral Equations and Operator Theory
- volume
- 89
- issue
- 4
- pages
- 28 pages
- publisher
- Springer
- external identifiers
-
- scopus:85034244330
- ISSN
- 0378-620X
- DOI
- 10.1007/s00020-017-2415-5
- language
- English
- LU publication?
- no
- additional info
- Funding Information: The authors gratefully acknowledge the support of the Swedish Research Council under Grant No. 621-2012-3863. We sincerely thank the reviewer for the insightful comments, which were invaluable when revising the manuscript. Publisher Copyright: © 2017, The Author(s).
- id
- d1d7d3e2-c9c7-49bd-b507-9efb7f9a0cc6
- date added to LUP
- 2023-03-24 11:07:25
- date last changed
- 2023-03-24 13:51:00
@article{d1d7d3e2-c9c7-49bd-b507-9efb7f9a0cc6, abstract = {{<p>In this paper we present equivalence results for several types of unbounded operator functions. A generalization of the concept equivalence after extension is introduced and used to prove equivalence and linearization for classes of unbounded operator functions. Further, we deduce methods of finding equivalences to operator matrix functions that utilizes equivalences of the entries. Finally, a method of finding equivalences and linearizations to a general case of operator matrix polynomials is presented.</p>}}, author = {{Engström, Christian and Torshage, Axel}}, issn = {{0378-620X}}, keywords = {{Block operator matrices; Equivalence after extension; Operator functions; Spectrum}}, language = {{eng}}, month = {{12}}, number = {{4}}, pages = {{465--492}}, publisher = {{Springer}}, series = {{Integral Equations and Operator Theory}}, title = {{On Equivalence and Linearization of Operator Matrix Functions with Unbounded Entries}}, url = {{http://dx.doi.org/10.1007/s00020-017-2415-5}}, doi = {{10.1007/s00020-017-2415-5}}, volume = {{89}}, year = {{2017}}, }