| Title:
|
$B(X)$ is generated in strong operator topology by two of its elements (English) |
| Author:
|
Müller, Vladimír |
| Author:
|
Żelazko, Wiesław |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
39 |
| Issue:
|
3 |
| Year:
|
1989 |
| Pages:
|
486-489 |
| . |
| Category:
|
math |
| . |
| MSC:
|
47B37 |
| MSC:
|
47D30 |
| idZBL:
|
Zbl 0717.47017 |
| idMR:
|
MR1006314 |
| DOI:
|
10.21136/CMJ.1989.102320 |
| . |
| Date available:
|
2008-06-09T15:28:22Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/102320 |
| . |
| Reference:
|
[1] Ch. Davis: Generators of the ring of bounded operators.Proc. Amer. Math. Soc. 6 (1955), 970-972. Zbl 0066.09801, MR 0073138, 10.1090/S0002-9939-1955-0073138-1 |
| Reference:
|
[2] E. A. Nordgren M. Rajabalipour H. Radjavi P. Rosenthal: Quadratic operators and invariant subspaces.Studia Math. 88, in press. MR 0932014 |
| Reference:
|
[3] C. L. Olsen W. R. Zame: Some $C^*$-algebras with a single generator.Trans. Amer. Math. Soc. 215 (1976), 205-217. MR 0388114 |
| Reference:
|
[4] R. I. Ovsepian A. Pelczyński: Existence of a fundamental total and bounded biorthogonal sequence.Studia Math. 54 (1975), 149-159. MR 0394137 |
| Reference:
|
[5] A. Pelczyński: All separable Banach spaces admit for every $\varepsilon > 0$ fundamental total and bounded by $1 + \varepsilon$ biorthogonal sequences.Studia Math. 55 (1976), 295-304. MR 0425587, 10.4064/sm-55-3-295-304 |
| Reference:
|
[6] W. Żelazko: $B(H)$ is generated by two of its abelian subalgebras.Proc. Int. Conf. On invariant subspaces and allied topics (Delhi 15 - 19 Dec. 1986), in press. |
| Reference:
|
[7] W. Żelazko: Algebraic generation of $B(X)$ by two subalgebras with square zero.Studia Math. 90, in press. MR 0959525 |
| Reference:
|
[8] W. Żelazko: $B(X)$ is generated in strong operator topology by two subalgebras with square zero.submitted. Zbl 0675.47044 |
| . |
