| Title:
|
Eventually positive elements in ordered Banach algebras (English) |
| Author:
|
Herzog, Gerd |
| Author:
|
Kunstmann, Peer C. |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
64 |
| Issue:
|
3 |
| Year:
|
2023 |
| Pages:
|
321-330 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In ordered Banach algebras, we introduce eventually and asymptotically positive elements. We give conditions for the following spectral properties: the spectral radius belongs to the spectrum (Perron--Frobenius property); the spectral radius is the only element in the peripheral spectrum; there are positive (approximate) eigenvectors for the spectral radius. Recently such types of results have been shown for operators on Banach lattices. Our results can be viewed as a complement, since our structural assumptions on the ordered Banach algebra are much weaker. (English) |
| Keyword:
|
ordered Banach algebra |
| Keyword:
|
eventually positive element |
| Keyword:
|
spectral property |
| Keyword:
|
Perron--Frobenius property |
| MSC:
|
46B40 |
| MSC:
|
46H05 |
| idZBL:
|
Zbl 07830511 |
| idMR:
|
MR4717504 |
| DOI:
|
10.14712/1213-7243.2023.030 |
| . |
| Date available:
|
2024-03-18T10:42:01Z |
| Last updated:
|
2025-10-06 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/152301 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| . |
