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