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A characterization of positive normal functionals on the full operator algebra
Published 18 Oct 2017 in math.FA | (1710.06830v1)
Abstract: 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 is normal. We also characterize those functionals defined on the left ideal of finite rank operators that have a normal extension.
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