| Title:
|
Triangularization of some families of 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:
|
42 |
| Issue:
|
3 |
| Year:
|
2001 |
| Pages:
|
499-506 |
| . |
| Category:
|
math |
| . |
| Summary:
|
Some results concerning triangularization of some operators on locally convex spaces are established. (English) |
| Keyword:
|
locally convex space |
| Keyword:
|
triangularization |
| Keyword:
|
invariant subspace |
| Keyword:
|
compact operator |
| Keyword:
|
quasinilpotent operator |
| MSC:
|
46A32 |
| MSC:
|
46H20 |
| MSC:
|
46H35 |
| MSC:
|
47A15 |
| MSC:
|
47B99 |
| MSC:
|
47L10 |
| idZBL:
|
Zbl 1053.47058 |
| idMR:
|
MR1860238 |
| . |
| Date available:
|
2009-01-08T19:12:08Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/119264 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
|
[3] Grabiner S.: The nilpotency of Banach nil algebras.Proc. Amer. Math. Soc. 21 (1969), 510. Zbl 0174.44602, MR 0236700 |
| Reference:
|
[4] Hadwin D., Nordgren E., Radjabalipour M., Radjavi H., Rosenthal P.: On simultaneous triangularization of collection of operators.Houston J. Math. 17 (1991), 581-602. MR 1147275 |
| Reference:
|
[5] Katavolos A., Radjavi H.: Simultaneous triangulation of operators on a Banach space.J. London Math. Soc. 41 (1990), 547-554. MR 1072047 |
| Reference:
|
[6] Kramar E.: Invariant subspaces for some operators on locally convex spaces.Comment. Math. Univ. Carolinae 38 (1997), 635-644. Zbl 0937.47005, MR 1601676 |
| Reference:
|
[7] Litvinov G.L., Lomonosov V.I.: Density theorems in locally convex spaces and theirs applications (in Russian).Trudi sem. vekt. i tenz. analiza 20 (1981), 210-227. MR 0622018 |
| Reference:
|
[8] Lomonosov V.I.: Invariant subspace of operators commuting with compact operators.Funct. Anal. Appl. 7 (1973), 213-214. MR 0420305 |
| Reference:
|
[9] Ma T.W.: On rank one commutators and triangular representations.Canad. Math. Bull. 29 (1986), 268-273. Zbl 0555.47004, MR 0846703 |
| Reference:
|
[10] Mendoza R.V.: The $(\Gamma , t)$-topology on $L(E,E)$ and the spectrum of a bounded linear operator on a locally convex topological vector space.Bol. Soc. Mat. Mexicana 3 (1997), 151-164. Zbl 0905.46004, MR 1452669 |
| Reference:
|
[11] Radjavi H., Rosenthal P.: From local to global triangularization.J. Funct. Anal. 147 (1997), 443-456. Zbl 0902.47019, MR 1454489 |
| Reference:
|
[12] Ringrose J.R.: Super-diagonal forms for compact linear operators.Proc. London Math. Soc. (3) 12 (1962), 367-384. Zbl 0102.10301, MR 0136998 |
| Reference:
|
[13] Uss P.: Sur les opérateurs bornés dans les espaces localement convexes.Studia Math. 37 (1971), 139-158. Zbl 0212.15901, MR 0303328 |
| . |
