| Title:
|
Hyperreflexive operators on finite dimensional Hilbert spaces (English) |
| Author:
|
Drahovský, Štefan |
| Author:
|
Zajac, Michal |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
118 |
| Issue:
|
3 |
| Year:
|
1993 |
| Pages:
|
249-254 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper a complete characterization of hyperreflexive operators on finite dimensional Hilbert spaces is given. (English) |
| Keyword:
|
commutant |
| Keyword:
|
reflexivity |
| Keyword:
|
hyperreflexive operators on finite dimensional Hilbert spaces |
| Keyword:
|
invariant subspace |
| MSC:
|
15A21 |
| MSC:
|
47A15 |
| MSC:
|
47D25 |
| MSC:
|
47L30 |
| idZBL:
|
Zbl 0804.47007 |
| idMR:
|
MR1239119 |
| DOI:
|
10.21136/MB.1993.125929 |
| . |
| Date available:
|
2009-09-24T20:59:37Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/125929 |
| . |
| Reference:
|
[1] Bercovici H.: Operator Theory and Arithmetic in $H^{\infty}$.Mathemaical surveys and monographs 26, A.M.S. Providence, Rhode Island, 1988. MR 0954383 |
| Reference:
|
[2] Bercovici H., Foiaş C., Sz.- Nagy B.: Reflexive and hyper-reflexive operators of class $C_0$.Acta Sci. Math. 43 (1981), 5-13. MR 0621348 |
| Reference:
|
[3] Deddens J. A., Fillmore P. A.: Reflexive Linear Transformations.Linear Algebra Appl. 10 (1975), 89-93. Zbl 0301.15011, MR 0358390 |
| Reference:
|
[4] Fillmore P. A., Herrero, Domingo A., Longstaff W. E.: The Hyperinvariant Subspace Lattice of a Linear Transformation.Linear Algebra Appl. 17 (1977), 125-132. Zbl 0359.47005, MR 0470707 |
| Reference:
|
[5] Sz.-Nagy B., Foiaş, C: Harmonic Analysis of Operators on Hilbert Space.North-Holland, Amsterdam - Akadémiai Kiadó, Budapest, 1970. Zbl 0201.45003, MR 0275190 |
| Reference:
|
[6] Zajac M.: On the singular unitary part of a contraction.Rev. Roumaine Math. Pures Appl. 35 (1990), 379-384. Zbl 0723.47007, MR 1082520 |
| Reference:
|
[7] Horn R.A., Johnson C.R.: Topics in Matrix Analysis.Cambridge University Press, 1991. Zbl 0729.15001, MR 1091716 |
| . |
