Zobrazeno 1 - 10
of 274
pro vyhledávání: '"Størmer, Erling"'
For a class of linear maps on a von Neumann factor, we associate two objects, bounded operators and trace class operators, both of which play the roles of Choi matrices. Each of them is positive if and only if the original map on the factor is comple
Externí odkaz:
http://arxiv.org/abs/2311.18240
Publikováno v:
In Journal of Functional Analysis 15 October 2024 287(8)
Publikováno v:
Linear Algebra Appl. 608 (2021), 248-269
We introduce the notion of one-sided mapping cones of positive linear maps between matrix algebras. These are convex cones of maps that are invariant under compositions by completely positive maps from either the left or right side. The duals of such
Externí odkaz:
http://arxiv.org/abs/2002.09614
Autor:
Bratteli, Tone, Digernes, Trond, Elliott, George, Evans, David E., Jorgensen, Palle E., Kishimoto, Aki, Landstad, Magnus B., Robinson, Derek, Størmer, Erling
Publikováno v:
Notices Amer. Math. Soc. 67 (2020), no. 5, 665-675
This article discusses the life and work of Professor Ola Bratteli (1946--2015). Family, fellow students, his advisor, colleagues and coworkers review aspects of his life and his outstanding mathematical accomplishments.
Comment: 18 pages, 15 fi
Comment: 18 pages, 15 fi
Externí odkaz:
http://arxiv.org/abs/1903.01524
Autor:
Størmer, Erling
We prove two extension theorems for positive maps from operator systems into matrix algebras
Externí odkaz:
http://arxiv.org/abs/1805.05148
Publikováno v:
Phys. Rev. Lett. 121, 080407 (2018)
We analyze the relation between CP-divisibility and the lack of information backflow for an arbitrary -- not necessarily invertible -- dynamical map. It is well known that CP-divisibility always implies lack of information backflow. Moreover, these t
Externí odkaz:
http://arxiv.org/abs/1710.06771
Publikováno v:
Adv. Oper. Theory 3 (2018), no. 1, 295-325
In remembrance of Professor Uffe Valentin Haagerup (1949--2015), as a brilliant mathematician, we review some aspects of his life, and his outstanding mathematical accomplishments.
Comment: 31 pages, to appear in Adv. Oper. Theory (AOT)
Comment: 31 pages, to appear in Adv. Oper. Theory (AOT)
Externí odkaz:
http://arxiv.org/abs/1709.03778
Autor:
Størmer, Erling
We study mapping cones and their dual cones of positive maps of the n by n matrices into itself. For a natural class of cones there is a close relationship between maps in the cone, super-positive maps, and separable states. In particular the composi
Externí odkaz:
http://arxiv.org/abs/1703.07586
Autor:
Størmer, Erling
Extending Wigner's theorem we give a characterization of positive maps of $B(H)$ into itself which map the set of rank k projections onto itself.
Externí odkaz:
http://arxiv.org/abs/1604.05717