| Title:
|
Invariant subspaces for some operators on locally convex spaces (English) |
| Author:
|
Kramar, Edvard |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
38 |
| Issue:
|
4 |
| Year:
|
1997 |
| Pages:
|
635-644 |
| . |
| Category:
|
math |
| . |
| Summary:
|
The invariant subspace problem for some operators and some operator algebras acting on a locally convex space is studied. (English) |
| Keyword:
|
invariant subspace |
| Keyword:
|
locally convex space |
| Keyword:
|
locally bounded operator |
| Keyword:
|
universally bounded operator |
| Keyword:
|
compact operator |
| MSC:
|
46A03 |
| MSC:
|
46A32 |
| MSC:
|
46A99 |
| MSC:
|
47A15 |
| idZBL:
|
Zbl 0937.47005 |
| idMR:
|
MR1601676 |
| . |
| Date available:
|
2009-01-08T18:36:59Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/118962 |
| . |
| Reference:
|
[1] Brown S.: Connections between an operator and a compact operator that yields hyperinvariant subspaces.J. Oper. Theory 1 (1979), 117-121. MR 0526293 |
| Reference:
|
[2] Chilana A.K.: Invariant subspaces for linear operators in locally convex spaces.J. Lond. Soc. 2 (1970), 493-503. Zbl 0198.45703, MR 0423095 |
| Reference:
|
[3] Edwards R.E.: Functional Analysis, Theory and Applications.Holt, Rinehart and Winston, New York, 1965. Zbl 0189.12103, MR 0221256 |
| Reference:
|
[4] Floret K., Wloka J.: Einführung in die Theorie der lokalkonvexen Räume.Lectures Notes in Mathematics 56, Springer-Verlag, Berlin-Heidelberg-New York, 1968. Zbl 0155.45101, MR 0226355 |
| Reference:
|
[5] Fong C.K., Nordgren E.A., Radjabalipour M., Radjavi H., Rosenthal P.: Extensions of Lomonosov's invariant subspace theorem.Acta Sci. Math. 41 (1979), 55-62. Zbl 0413.47004, MR 0534499 |
| Reference:
|
[6] Joseph G.A.: Boundedness and completeness in locally convex spaces and algebras.J. Austral. Math. Soc. 24 (Series A) (1977), 50-63. Zbl 0367.46045, MR 0512300 |
| Reference:
|
[7] Kalnins D.: Sous-espaces hyperinvariant d'un operateur compact.C.R. Acad. Sc. Paris, ser. A 288 (1979), 115-116. MR 0524763 |
| Reference:
|
[8] Kim H.W., Moore R., Pearcy C.M.: A variation of Lomonosov theorem.J. Oper. Theory 2 (1979), 131-140. MR 0553868 |
| Reference:
|
[9] Köthe G.: Topological vector spaces II.N. York, Heidelberg, Berlin, 1979. MR 0551623 |
| Reference:
|
[10] Lerer L.E.: K spektraljnoj teorii ograničenih operatorov v lokalno vipuklom prostranstve.Matem. Issled. 2 (1967), 206-214. |
| Reference:
|
[11] Moore R.T.: Banach algebras of operators on locally convex spaces.Bull. Am. Math. Soc. 75 (1969), 68-73. Zbl 0189.13302, MR 0236723 |
| . |
