| Title:
|
Locally spectrally bounded linear maps (English) |
| Author:
|
Bendaoud, M. |
| Author:
|
Sarih, M. |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
136 |
| Issue:
|
1 |
| Year:
|
2011 |
| Pages:
|
81-89 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Let ${\mathcal L}({\mathcal H})$ be the algebra of all bounded linear operators on a complex Hilbert space ${\mathcal H}$. We characterize locally spectrally bounded linear maps from ${\mathcal L}({\mathcal H})$ onto itself. As a consequence, we describe linear maps from ${\mathcal L}({\mathcal H})$ onto itself that compress the local spectrum. (English) |
| Keyword:
|
local spectrum |
| Keyword:
|
local spectral radius |
| Keyword:
|
linear preservers |
| MSC:
|
47A10 |
| MSC:
|
47A53 |
| MSC:
|
47B49 |
| idZBL:
|
Zbl 1216.47066 |
| idMR:
|
MR2807711 |
| DOI:
|
10.21136/MB.2011.141452 |
| . |
| Date available:
|
2011-03-31T11:29:09Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/141452 |
| . |
| 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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| . |
