# $B\left(X\right)$ is generated in strong operator topology by two of its elements

Vladimír Müller; Wiesław Żelazko

Czechoslovak Mathematical Journal (1989)

- Volume: 39, Issue: 3, page 486-489
- ISSN: 0011-4642

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topMüller, Vladimír, and Żelazko, Wiesław. "$B(X)$ is generated in strong operator topology by two of its elements." Czechoslovak Mathematical Journal 39.3 (1989): 486-489. <http://eudml.org/doc/13794>.

@article{Müller1989,

author = {Müller, Vladimír, Żelazko, Wiesław},

journal = {Czechoslovak Mathematical Journal},

keywords = {algebra of all bounded linear operators; strong operator topology; total bounded biorthogonal system; forward and backward weighted shifts},

language = {eng},

number = {3},

pages = {486-489},

publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},

title = {$B(X)$ is generated in strong operator topology by two of its elements},

url = {http://eudml.org/doc/13794},

volume = {39},

year = {1989},

}

TY - JOUR

AU - Müller, Vladimír

AU - Żelazko, Wiesław

TI - $B(X)$ is generated in strong operator topology by two of its elements

JO - Czechoslovak Mathematical Journal

PY - 1989

PB - Institute of Mathematics, Academy of Sciences of the Czech Republic

VL - 39

IS - 3

SP - 486

EP - 489

LA - eng

KW - algebra of all bounded linear operators; strong operator topology; total bounded biorthogonal system; forward and backward weighted shifts

UR - http://eudml.org/doc/13794

ER -

## References

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- E. A. Nordgren M. Rajabalipour H. Radjavi P. Rosenthal, Quadratic operators and invariant subspaces, Studia Math. 88, in press. Zbl0648.47008MR0932014
- C. L. Olsen W. R. Zame, Some ${C}^{*}$-algebras with a single generator, Trans. Amer. Math. Soc. 215 (1976), 205-217. (1976) Zbl0342.46047MR0388114
- R. I. Ovsepian A. Pelczyński, Existence of a fundamental total and bounded biorthogonal sequence, Studia Math. 54 (1975), 149-159. (1975) Zbl0317.46019MR0394137
- A. Pelczyński, All separable Banach spaces admit for every $\epsilon >0$ fundamental total and bounded by $1+\epsilon $ biorthogonal sequences, Studia Math. 55 (1976), 295-304. (1976) Zbl0336.46023MR0425587
- W. Żelazko, $B\left(H\right)$ is generated by two of its abelian subalgebras, Proc. Int. Conf. On invariant subspaces and allied topics (Delhi 15 - 19 Dec. 1986), in press. (19 D) Zbl0675.47044
- W. Żelazko, Algebraic generation of $B\left(X\right)$ by two subalgebras with square zero, Studia Math. 90, in press. Zbl0804.46055MR0959525
- W. Żelazko, $B\left(X\right)$ is generated in strong operator topology by two subalgebras with square zero, submitted. Zbl0675.47044

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