Extending a characterization of majorization to infinite dimensions

  title={Extending a characterization of majorization to infinite dimensions},
  author={Rajesh Pereira and Sarah Plosker},
  journal={Linear Algebra and its Applications},
DSS-weak majorization and its linear preservers on spaces
ABSTRACT In this paper, we use doubly substochastic operators to extend the notion of weak majorization on to the relation DSS-weak majorization defined on Then we characterize the structure of all
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Majorization and trumping are two partial orders which have proved useful in quantum information theory. We show some relations between these two partial orders and generalized Dirichlet polynomials,
Extension of Results
In this chapter we discuss some ways to extend the main theorem to slightly more general situations, such as non-autonomous systems, overflowing invariant manifolds, and smooth parameter dependence.
Some remarks on a paper by
We study a family of orthogonal polynomials which generalizes a sequence of polynomials considered by L. Carlitz. We show that they are a special case of the Sheffer polynomials and point out some
ε-convertibility of entangled states and extension of Schmidt rank in infinite-dimensional systems
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An Infinite Dimensional Version of the Schur–Horn Convexity Theorem
The Schur–Horn Convexity Theorem states that forain Rnp({U*diag(a)U:U∈U(n)})=conv(Sna),wherepdenotes the projection on the diagonal. In this paper we generalize this result to the setting of
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Although they play a fundamental role in nearly all branches of mathematics, inequalities are usually obtained by ad hoc methods rather than as consequences of some underlying "theory of
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For probability vectors x and y, the catalytic majorization relation x prec_T y is defined to hold when there exists a probability vector z such that x otimes z is majorized by y otimes z. In this