Operator Hilbert Systems

Date

2019-04-01

Author

Dosi, A.

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The present note deals with operator Hilbert systems, which are quantizations of unital cones in Hilbert spaces. One central result of the note is that the Pisier operator Hilbert space is an operator system whose quantum cone of positive elements is described in terms of the quantum ball of the relevant conjugate Hilbert space. Finally, we obtain a solution to the problem of Paulsen, Todorov and Tomforde on separable morphisms between operator systems and characterize minmax- completely positive maps between Archimedean order unit spaces.

Subject Keywords

Applied Mathematics, Analysis

URI

https://hdl.handle.net/11511/63386

Journal

FUNCTIONAL ANALYSIS AND ITS APPLICATIONS

DOI

https://doi.org/10.1134/s0016266319020096

Collections

Natural Sciences and Mathematics, Article

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Citation Formats

A. Dosi, “Operator Hilbert Systems,” FUNCTIONAL ANALYSIS AND ITS APPLICATIONS, pp. 143–148, 2019, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/63386.