| Title:
|
Generalized quadratic operators and perturbations (English) |
| Author:
|
Souilah, Khalid |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
147 |
| Issue:
|
1 |
| Year:
|
2022 |
| Pages:
|
51-63 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We provide a complete description of the perturbation class and the commuting perturbation class of all generalized quadratic bounded operators with respect to a given idempotent bounded operator in the context of complex Banach spaces. Furthermore, we give simple characterizations of the generalized quadraticity of linear combinations of two generalized quadratic bounded operators with respect to a given idempotent bounded operator. (English) |
| Keyword:
|
generalized quadratic operator |
| Keyword:
|
perturbation classes problem |
| MSC:
|
47A55 |
| MSC:
|
47B01 |
| MSC:
|
47B99 |
| idZBL:
|
Zbl 07547241 |
| idMR:
|
MR4387468 |
| DOI:
|
10.21136/MB.2021.0010-20 |
| . |
| Date available:
|
2022-04-17T18:08:52Z |
| Last updated:
|
2022-09-06 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/149594 |
| . |
| 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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[10] Petik, T., Uç, M., Özdemir, H.: Generalized quadraticity of linear combination of two generalized quadratic matrices.Linear Multilinear Algebra 63 (2015), 2430-2439. Zbl 1330.15048, MR 3402548, 10.1080/03081087.2015.1016886 |
| Reference:
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| Reference:
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| Reference:
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