Zobrazeno 1 - 10
of 147
pro vyhledávání: '"Arveson, William"'
Autor:
Arveson, William
This article shows how the work of Henry Helson, especially the two papers of Helson and Lowdenslager, came to influence the development of the theory of non self adjoint operator algebras acting on Hilbert space.
Comment: 5 pages. This is one o
Comment: 5 pages. This is one o
Externí odkaz:
http://arxiv.org/abs/1101.4221
Autor:
Arveson, William
Paul Halmos' work in dilation theory began with a question and its answer: Which operators on a Hilbert space can be extended to normal operators on a larger Hilbert space? The answer is interesting and subtle. The idea of representing operator-theor
Externí odkaz:
http://arxiv.org/abs/0902.3989
Autor:
Arveson, William
We classify operator systems $S\subseteq \mathcal B(H)$ that act on finite dimensional Hilbert spaces by making use of the noncommutative Choquet boundary. S is said to be {\em reduced} when its boundary ideal is 0. In the category of operator system
Externí odkaz:
http://arxiv.org/abs/0810.4343
Autor:
Arveson, William
A (finite or countably infinite) set G of generators of an abstract C*-algebra A is called hyperrigid if for every faithful representation of A on a Hilbert space $A\subseteq \mathcal B(H)$ and every sequence of unital completely positive linear maps
Externí odkaz:
http://arxiv.org/abs/0810.2751
Autor:
Arveson, William
Let $V$ be a norm-closed subset of the unit sphere of a Hilbert space $H$ that is stable under multiplication by scalars of absolute value 1. A {\em maximal vector} (for $V$) is a unit vector $\xi\in H$ whose distance to $V$ is maximum $d(\xi,V)=\sup
Externí odkaz:
http://arxiv.org/abs/0804.1140
Autor:
Arveson, William
Let M and N be full matrix algebras. A unital completely positive (UCP) map \phi:M\to N is said to preserve entanglement if its inflation \phi\otimes \id_N : M\otimes N\to N\otimes N has the following property: for every maximally entangled pure stat
Externí odkaz:
http://arxiv.org/abs/0801.2531
Autor:
Arveson, William
We show that states on tensor products of matrix algebras whose ranks are relatively small are {\em almost surely} entangled, but that states of maximum rank are not. More precisely, let $M=M_m(\mathbb C)$ and $N=M_n(\mathbb C)$ be full matrix algebr
Externí odkaz:
http://arxiv.org/abs/0712.4163
Autor:
Arveson, William, Courtney, Dennis
Publikováno v:
Proc. Amer. Math. Soc. 136 (2008), 2073-2079
Normal endomorphisms of von Neumann algebras need not be extendable to automorphisms of a larger von Neumann algebra, but they always have asymptotic lifts. We describe the structure of endomorphisms and their asymptotic lifts in some detail, and app
Externí odkaz:
http://arxiv.org/abs/math/0703115