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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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BibTeX
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.