# 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} }

## 16 Citations

DSS-weak majorization and its linear preservers on spaces

- Mathematics
- 2018

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…

Semi-doubly Stochastic Operators and Majorization of Integrable Functions

- Mathematics
- 2020

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…

Characterization of two-sided order preserving of convex majorization on lp(I)

- Mathematics
- 2017

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…

Majorization and Semi-Doubly Stochastic Operators on $L^1(X)$

- Mathematics
- 2021

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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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…