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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:
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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