A characterization of positive normal functionals on the full operator algebra [chapter]

Zoltán Sebestyén, Zsigmond Tarcsay, Tamás Titkos
2018 Operator Theory: Advances and Applications  
Using the recent theory of Krein-von Neumann extensions for positive functionals we present several simple criteria to decide whether a given positive functional on the full operator algebra B(H) is normal. We also characterize those functionals defined on the left ideal of finite rank operators that have a normal extension. Mathematics Subject Classification (2010). Primary 46K10, 46A22.
doi:10.1007/978-3-319-75996-8_24 fatcat:24jt6wsganfono4rb3wulk4d3m