B ( X ) 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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Müller, 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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  1. 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
  2. E. A. Nordgren M. Rajabalipour H. Radjavi P. Rosenthal, Quadratic operators and invariant subspaces, Studia Math. 88, in press. Zbl0648.47008MR0932014
  3. C. L. Olsen W. R. Zame, Some C * -algebras with a single generator, Trans. Amer. Math. Soc. 215 (1976), 205-217. (1976) Zbl0342.46047MR0388114
  4. R. I. Ovsepian A. Pelczyński, Existence of a fundamental total and bounded biorthogonal sequence, Studia Math. 54 (1975), 149-159. (1975) Zbl0317.46019MR0394137
  5. A. Pelczyński, All separable Banach spaces admit for every ε > 0 fundamental total and bounded by 1 + ε biorthogonal sequences, Studia Math. 55 (1976), 295-304. (1976) Zbl0336.46023MR0425587
  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. (19 D) Zbl0675.47044
  7. W. Żelazko, Algebraic generation of B ( X ) by two subalgebras with square zero, Studia Math. 90, in press. Zbl0804.46055MR0959525
  8. W. Żelazko, B ( X ) is generated in strong operator topology by two subalgebras with square zero, submitted. Zbl0675.47044

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