On strong generation of B(ℋ) by two commutative C*-algebras
Studia Mathematica, Tome 125 (1997) no. 2, pp. 175-178
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
The algebra B(ℋ) of all bounded operators on a Hilbert space ℋ is generated in the strong operator topology by a single one-dimensional projection and a family of commuting unitary operators with cardinality not exceeding dim ℋ. This answers Problem 8 posed by W. Żelazko in [6].
@article{10_4064_sm_125_2_175_178,
author = {R. Berntzen and },
title = {On strong generation of {B(\ensuremath{\mathscr{H}})} by two commutative {C*-algebras}},
journal = {Studia Mathematica},
pages = {175--178},
publisher = {mathdoc},
volume = {125},
number = {2},
year = {1997},
doi = {10.4064/sm-125-2-175-178},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/sm-125-2-175-178/}
}
TY - JOUR AU - R. Berntzen AU - TI - On strong generation of B(ℋ) by two commutative C*-algebras JO - Studia Mathematica PY - 1997 SP - 175 EP - 178 VL - 125 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.4064/sm-125-2-175-178/ DO - 10.4064/sm-125-2-175-178 LA - en ID - 10_4064_sm_125_2_175_178 ER -
R. Berntzen; . On strong generation of B(ℋ) by two commutative C*-algebras. Studia Mathematica, Tome 125 (1997) no. 2, pp. 175-178. doi: 10.4064/sm-125-2-175-178
Cité par Sources :