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arXiv · 1710.06830

A characterization of positive normal functionals on the full operator algebra

Zoltán Sebestyén·Zsigmond Tarcsay·Tamás Titkos
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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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Zoltán Sebestyén, Zsigmond Tarcsay, Tamás Titkos. 2017-10-18. A characterization of positive normal functionals on the full operator algebra. https://arxiv.org/abs/1710.06830

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