| Title:
|
Functional calculus for a class of unbounded linear operators on some non-archimedean Banach spaces (English) |
| Author:
|
Attimu, Dodzi |
| Author:
|
Diagana, Toka |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
50 |
| Issue:
|
1 |
| Year:
|
2009 |
| Pages:
|
37-60 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
This paper is mainly concerned with extensions of the so-called Vishik functional calculus for analytic bounded linear operators to a class of unbounded linear operators on $c_0$. For that, our first task consists of introducing a new class of linear operators denoted $W(c_0({J},\omega,\Bbb K))$ and next we make extensive use of such a new class along with the concept of convergence in the sense of resolvents to construct a functional calculus for a large class of unbounded linear operators. (English) |
| Keyword:
|
non-archimedean Banach space |
| Keyword:
|
Shnirelman integral |
| Keyword:
|
spectrum |
| Keyword:
|
unbounded linear operator |
| Keyword:
|
functional calculus |
| MSC:
|
12G25 |
| MSC:
|
26E30 |
| MSC:
|
46S10 |
| MSC:
|
47S10 |
| idZBL:
|
Zbl 1212.47125 |
| idMR:
|
MR2562802 |
| . |
| Date available:
|
2009-08-18T12:22:51Z |
| Last updated:
|
2013-09-22 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/133413 |
| . |
| 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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