# Article

 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 .

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