A+ CATEGORY SCIENTIFIC UNIT

On strong generation of B(ℋ) by two commutative C*-algebras

Volume 125 / 1997

R. Berntzen, 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].

Authors

  • R. Berntzen

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