| Title:
|
Representation of bilinear forms in non-Archimedean Hilbert space by linear operators (English) |
| Author:
|
Diagana, Toka |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
47 |
| Issue:
|
4 |
| Year:
|
2006 |
| Pages:
|
695-705 |
| . |
| Category:
|
math |
| . |
| Summary:
|
The paper considers representing symmetric, non-degenerate, bilinear forms on some non-Archimedean Hilbert spaces by linear operators. Namely, upon making some assumptions it will be shown that if $\phi $ is a symmetric, non-degenerate bilinear form on a non-Archimedean Hilbert space, then $\phi $ is representable by a unique self-adjoint (possibly unbounded) operator $A$. (English) |
| Keyword:
|
non-Archimedean Hilbert space |
| Keyword:
|
non-Archimedean bilinear form |
| Keyword:
|
unbounded operator |
| Keyword:
|
unbounded bilinear form |
| Keyword:
|
bounded bilinear form |
| Keyword:
|
self-adjoint operator |
| MSC:
|
46C99 |
| MSC:
|
46S10 |
| MSC:
|
47S10 |
| idZBL:
|
Zbl 1150.47408 |
| idMR:
|
MR2337423 |
| . |
| Date available:
|
2009-05-05T17:00:39Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/119629 |
| . |
| Related article:
|
http://dml.cz/handle/10338.dmlcz/119670 |
| . |
| Reference:
|
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| Reference:
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| Reference:
|
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| Reference:
|
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| Reference:
|
[5] Diagana T.: Erratum to: ``Towards a theory of some unbounded linear operators on $p$-adic Hilbert spaces and applications".Ann. Math. Blaise Pascal 13 (2006), 105-106. MR 2233015 |
| 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:
|
[13] van Rooij A.C.M.: Non-Archimedean Functional Analysis.Marcel Dekker, New York, 1978. Zbl 0396.46061, MR 0512894 |
| . |
