# $B\left(X\right)$ 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

## Access Full Article

top## How to cite

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

top- Ch. Davis, 10.1090/S0002-9939-1955-0073138-1, Proc. Amer. Math. Soc. 6 (1955), 970-972. (1955) Zbl0066.09801MR0073138DOI10.1090/S0002-9939-1955-0073138-1
- E. A. Nordgren M. Rajabalipour H. Radjavi P. Rosenthal, Quadratic operators and invariant subspaces, Studia Math. 88, in press. MR0932014
- C. L. Olsen W. R. Zame, Some ${C}^{*}$-algebras with a single generator, Trans. Amer. Math. Soc. 215 (1976), 205-217. (1976) MR0388114
- R. I. Ovsepian A. Pelczyński, Existence of a fundamental total and bounded biorthogonal sequence, Studia Math. 54 (1975), 149-159. (1975) MR0394137
- 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) MR0425587
- 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)
- W. Żelazko, Algebraic generation of $B\left(X\right)$ by two subalgebras with square zero, Studia Math. 90, in press. MR0959525
- W. Żelazko, $B\left(X\right)$ is generated in strong operator topology by two subalgebras with square zero, submitted. Zbl0675.47044

## Citations in EuDML Documents

top## NotesEmbed ?

topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.