Linear preservers of majorization on lp(I)

In this paper we use doubly stochastic operators to extend the notion of majorization on lp, where I is assumed to be an infinite set and p∈(1,+∞), and then characterize the structure of all bounded linear maps on this space which preserve majorization. We will see that the two cases p∈(1,+∞) and p=...

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Veröffentlicht in:	Linear algebra and its applications 2012-05, Vol.436 (9), p.3177-3195
Hauptverfasser:	Bahrami, F., Bayati Eshkaftaki, A., Manjegani, S.M.
Format:	Artikel
Sprache:	eng
Schlagworte:	Algebra Doubly stochastic operator Exact sciences and technology Linear and multilinear algebra, matrix theory Linear preserver Majorization Mathematics Permutation Sciences and techniques of general use
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	In this paper we use doubly stochastic operators to extend the notion of majorization on lp, where I is assumed to be an infinite set and p∈(1,+∞), and then characterize the structure of all bounded linear maps on this space which preserve majorization. We will see that the two cases p∈(1,+∞) and p=1 lead to different structures.
ISSN:	0024-3795 1873-1856
DOI:	10.1016/j.laa.2011.10.016