| Title:
|
A note on the powers of Cesàro bounded operators (English) |
| Author:
|
Léka, Zoltán |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
60 |
| Issue:
|
4 |
| Year:
|
2010 |
| Pages:
|
1091-1100 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this note we give a negative answer to Zem�nek's question (1994) of whether it always holds that a Cesàro bounded operator $T$ on a Hilbert space with a single spectrum satisfies $\lim _{n \rightarrow \infty } \|T^{n+1} - T^n\| = 0.$ (English) |
| Keyword:
|
Volterra operator |
| Keyword:
|
stability of operators |
| MSC:
|
47A35 |
| MSC:
|
47B37 |
| MSC:
|
47B38 |
| idZBL:
|
Zbl 1220.47014 |
| idMR:
|
MR2738971 |
| . |
| Date available:
|
2010-11-20T14:00:44Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/140808 |
| . |
| 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] Szegö, G.: Orthogonal Polynomials, 4th ed. Amer. Math. Soc. Colloq. Publ., Vol. 23.Amer. Math. Soc. Providence (1975). MR 0310533 |
| Reference:
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| Reference:
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| Reference:
|
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| . |
