| Title:
|
On solvability of nonlinear operator equations and eigenvalues of homogeneous operators (English) |
| Author:
|
Burýšková, Věra |
| Author:
|
Burýšek, Slavomír |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
121 |
| Issue:
|
3 |
| Year:
|
1996 |
| Pages:
|
301-314 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Notions as the numerical range $W(S,T)$ and the spectrum $\s(S,T)$ of couple $(S,T)$ of homogeneous operators on a Banach space are used to derive theorems on solvability of the equation $Sx-lTx=y.$ Conditions for the existence of eigenvalues of the couple $(S,T)$ are given. (English) |
| Keyword:
|
Banach and Hilbert space |
| Keyword:
|
homogeneous operator |
| Keyword:
|
polynomial operator |
| Keyword:
|
symmetric operator |
| Keyword:
|
monotone operator |
| Keyword:
|
numerical range |
| Keyword:
|
spectrum |
| Keyword:
|
eigenvalue |
| MSC:
|
47H15 |
| MSC:
|
47J05 |
| idZBL:
|
Zbl 0863.47045 |
| idMR:
|
MR1419884 |
| DOI:
|
10.21136/MB.1996.125984 |
| . |
| Date available:
|
2009-09-24T21:20:04Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/125984 |
| . |
| 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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| 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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[17] A. Rhodius: Deг numeгische Wertebereich für nicht netwendig lineare Abbildungen in lokalkonvexen Räumen.Math. Nachr. 72 (1976), 169-180. MR 0410501, 10.1002/mana.19760720115 |
| Reference:
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| Reference:
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| Reference:
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| Reference:
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| . |
