On -commuting operators
Tom 166 / 2005
Studia Mathematica 166 (2005), 1-9
MSC: Primary 47B07, 47A58.
DOI: 10.4064/sm166-1-1
Streszczenie
For a scalar \lambda , two operators T and S are said to \lambda -commute if TS=\lambda ST. In this note we explore the pervasiveness of the operators that \lambda -commute with a compact operator by characterizing the closure and the interior of the set of operators with this property.