Results 1 to 10 of about 11,276 (176)
Semibounded representations and invariant cones in infinite dimensional Lie algebras [PDF]
, 2009 A unitary representation of a, possibly infinite dimensional, Lie group $G$ is called semi-bounded if the corresponding operators $i\dd\pi(x)$ from the derived representations are uniformly bounded from above on some non-empty open subset of the Lie ...
Neeb, Karl-Hermann
core +4 more sources
Extremal norms for positive linear inclusions [PDF]
, 2013 For finite-dimensional linear semigroups which leave a proper cone invariant it is shown that irreducibility with respect to the cone implies the existence of an extremal norm. In case the cone is simplicial a similar statement applies to absolute norms.
Mason, Oliver, Wirth, Fabian
core +3 more sources
Nonconvex notions of regularity and convergence of fundamental algorithms for feasibility problems [PDF]
, 2013 We consider projection algorithms for solving (nonconvex) feasibility problems in Euclidean spaces. Of special interest are the Method of Alternating Projections (MAP) and the Douglas-Rachford or Averaged Alternating Reflection Algorithm (AAR).
Hesse, Robert, Luke, D. Russell
core +1 more source
Geometric duality theory of cones in dual pairs of vector spaces [PDF]
, 2015 This paper will generalize what may be termed the "geometric duality theory" of real pre-ordered Banach spaces which relates geometric properties of a closed cone in a real Banach space, to geometric properties of the dual cone in the dual Banach space ...
Messerschmidt, Miek
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The Method of Alternating Relaxed Projections for two nonconvex sets [PDF]
, 2013 The Method of Alternating Projections (MAP), a classical algorithm for solving feasibility prob- lems, has recently been intensely studied for nonconvex sets.
Bauschke, Heinz H. +2 more
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Hilbert's projective metric in quantum information theory
, 2011 We introduce and apply Hilbert's projective metric in the context of quantum information theory. The metric is induced by convex cones such as the sets of positive, separable or PPT operators.
David Reeb +4 more
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Dobrushin ergodicity coefficient for Markov operators on cones, and beyond [PDF]
, 2013 The analysis of classical consensus algorithms relies on contraction properties of adjoints of Markov operators, with respect to Hilbert's projective metric or to a related family of seminorms (Hopf's oscillation or Hilbert's seminorm).
Gaubert, Stéphane, Qu, Zheng
core +7 more sources
Generalizations of entanglement based on coherent states and convex sets
, 2002 Unentangled pure states on a bipartite system are exactly the coherent states with respect to the group of local transformations. What aspects of the study of entanglement are applicable to generalized coherent states?
A. Aspect +49 more
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Curvature cones and the Ricci flow [PDF]
, 2014 This survey reviews some facts about nonnegativity conditions on the curvature tensor of a Riemannian manifold which are preserved by the action of the Ricci flow. The text focuses on two main points.
Richard, Thomas
core +2 more sources
, 2007 We investigate the set a) of positive, trace preserving maps acting on density matrices of size N, and a sequence of its nested subsets: the sets of maps which are b) decomposable, c) completely positive, d) extended by identity impose positive partial ...
Elisabeth Werner +5 more
core +1 more source