| Title:
|
Spectra of weighted composition operators on algebras of analytic functions on Banach spaces (English) |
| Author:
|
Yuan, Cheng |
| Author:
|
Zhou, Ze-Hua |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
61 |
| Issue:
|
2 |
| Year:
|
2011 |
| Pages:
|
371-381 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Let $E$ be a complex Banach space, with the unit ball $B_E$. We study the spectrum of a bounded weighted composition operator $uC_{\varphi }$ on $H^\infty (B_E)$ determined by an analytic symbol $\varphi $ with a fixed point in $B_E$ such that $\varphi (B_E)$ is a relatively compact subset of $E$, where $u$ is an analytic function on $B_E$. (English) |
| Keyword:
|
bounded analytic function spaces |
| Keyword:
|
weighted composition operators |
| Keyword:
|
essential norm |
| Keyword:
|
spectra |
| MSC:
|
32A37 |
| MSC:
|
46E15 |
| MSC:
|
47B33 |
| MSC:
|
47B38 |
| idZBL:
|
Zbl 1245.47014 |
| idMR:
|
MR2905410 |
| DOI:
|
10.1007/s10587-011-0081-3 |
| . |
| Date available:
|
2011-06-06T10:29:24Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/141540 |
| . |
| 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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| . |
