Extending a characterization of majorization to infinite dimensions

@article{Pereira2015ExtendingAC,
  title={Extending a characterization of majorization to infinite dimensions},
  author={Rajesh Pereira and Sarah Plosker},
  journal={Linear Algebra and its Applications},
  year={2015},
  volume={468},
  pages={80-86}
}
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16 Citations
Background Citations
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16 Citations

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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Isotonic linear operators on the space of all convergent real sequences
Weak majorization and doubly substochastic operators on ℓp(I)
Semi-doubly Stochastic Operators and Majorization of Integrable Functions
In this paper, we introduce semi-doubly stochastic ( $${\mathcal {SDS}}$$ ) operators on $$L^1(X,\mu )$$ . The Ryff’s theorem extended to sigma-finite measure space using semi-doubly stochastic…
Linear preservers of weak majorization on ℓp(I)+, when p ∈ (1,∞)
Characterization of two-sided order preserving of convex majorization on lp(I)
In this paper, we consider an equivalence relation ∼c on `p(I), which is said to be “convex equivalent” for p ∈ [1,+∞) and a nonempty set I. We characterize the structure of all bounded linear…
Convex majorization on discrete ℓp spaces
Linear preservers of weak majorization on ℓ1(I)+, when I is an infinite set
Majorization and Semi-Doubly Stochastic Operators on $L^1(X)$
This article is devoted to a study of majorization based on semi-doubly stochastic operators (denoted by SD(L)) on L(X) when X is a σ-finite measure space. We answered Mirsky’s question and…
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Inequalities that Collectively Completely Characterize the Catalytic Majorization Relation
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