| Title:
|
Friedrichs extension of operators defined by linear Hamiltonian systems on unbounded interval (English) |
| Author:
|
Hilscher, Roman Šimon |
| Author:
|
Zemánek, Petr |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
135 |
| Issue:
|
2 |
| Year:
|
2010 |
| Pages:
|
209-222 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper we consider a linear operator on an unbounded interval associated with a matrix linear Hamiltonian system. We characterize its Friedrichs extension in terms of the recessive system of solutions at infinity. This generalizes a similar result obtained by Marletta and Zettl for linear operators defined by even order Sturm-Liouville differential equations. (English) |
| Keyword:
|
linear Hamiltonian system |
| Keyword:
|
Friedrichs extension |
| Keyword:
|
self-adjoint operator |
| Keyword:
|
recessive solution |
| Keyword:
|
quadratic functional |
| Keyword:
|
positivity conjoined basis |
| MSC:
|
34C10 |
| MSC:
|
34L05 |
| MSC:
|
47B25 |
| idZBL:
|
Zbl 1220.47028 |
| idMR:
|
MR2723088 |
| DOI:
|
10.21136/MB.2010.140698 |
| . |
| Date available:
|
2010-07-20T18:39:22Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/140698 |
| . |
| Reference:
|
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| Reference:
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