| Title:
|
On hyponormal operators in Krein spaces (English) |
| Author:
|
Esmeral, Kevin |
| Author:
|
Ferrer, Osmin |
| Author:
|
Jalk, Jorge |
| Author:
|
Lora Castro, Boris |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
55 |
| Issue:
|
4 |
| Year:
|
2019 |
| Pages:
|
249-259 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper the hyponormal operators on Krein spaces are introduced. We state conditions for the hyponormality of bounded operators focusing, in particular, on those operators $T$ for which there exists a fundamental decomposition $\mathbb{K}= \mathbb{K}^{+} \oplus \mathbb{K}^{-}$ of the Krein space $\mathbb{K}$ with $\mathbb{K}^{+}$ and $\mathbb{K}^{-}$ invariant under $T$. (English) |
| Keyword:
|
Hyponormal operators |
| Keyword:
|
Krein spaces |
| Keyword:
|
$J$-hyponormal operators |
| MSC:
|
46C20 |
| MSC:
|
47B50 |
| idZBL:
|
Zbl 07144740 |
| idMR:
|
MR4038360 |
| DOI:
|
10.5817/AM2019-4-249 |
| . |
| Date available:
|
2019-10-30T08:55:55Z |
| Last updated:
|
2020-04-02 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/147878 |
| . |
| 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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| Reference:
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| Reference:
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| Reference:
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| . |
