Ivarsson, Björn; Kutzschebauch, Frank; Løw, Erik (2020). Factorization of symplectic matrices into elementary factors. Proceedings of the American Mathematical Society, 148(5), pp. 1963-1970. American Mathematical Society 10.1090/proc/14891
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We prove that a symplectic matrix with entries in a ring with
Bass stable rank one can be factored as a product of elementary symplectic
matrices. This also holds for null-homotopic symplectic matrices with entries
in a Banach algebra or in the ring of complex valued continuous functions on
a finite dimensional normal topological space.
Item Type: |
Journal Article (Original Article) |
|---|---|
Division/Institute: |
08 Faculty of Science > Department of Mathematics and Statistics > Institute of Mathematics |
UniBE Contributor: |
Kutzschebauch, Werner Frank |
Subjects: |
500 Science > 510 Mathematics |
ISSN: |
0002-9939 |
Publisher: |
American Mathematical Society |
Funders: |
[UNSPECIFIED] Schweizerische Nationalfonds ; [UNSPECIFIED] Magnus Ehrnrooth Foundation ; [UNSPECIFIED] Bergens Forskningsstiftelse (BFS) |
Language: |
English |
Submitter: |
Sebastiano Don |
Date Deposited: |
10 Feb 2021 14:52 |
Last Modified: |
05 Dec 2022 15:45 |
Publisher DOI: |
10.1090/proc/14891 |
ArXiv ID: |
1905.02694 |
Uncontrolled Keywords: |
19B14, 18F25, 19B10, 20H25 |
BORIS DOI: |
10.48350/151231 |
URI: |
https://boris.unibe.ch/id/eprint/151231 |
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