On strong generation of B(ℋ) by two commutative C*-algebras
Volume 125 / 1997
Studia Mathematica 125 (1997), 175-178
DOI: 10.4064/sm-125-2-175-178
Abstract
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].
