The classic Birkhoff–von Neumann theorem states that the set of doubly stochastic matrices is the convex hull of the permutation matrices. In this paper, we study a generalisation of this theorem in the type II1setting. Namely, we replace a doubly stochastic matrix with a collection of measure preserving partial isomorphisms, of the unit interval, with similar properties. We show that a weaker version of this theorem still hold

Paunescu, L., Radulescu, F. (2017). A generalisation to Birkhoff–von Neumann theorem. ADVANCES IN MATHEMATICS, 308, 836-858 [10.1016/j.aim.2016.12.031].

A generalisation to Birkhoff–von Neumann theorem

RADULESCU, FLORIN
2017-01-01

Abstract

The classic Birkhoff–von Neumann theorem states that the set of doubly stochastic matrices is the convex hull of the permutation matrices. In this paper, we study a generalisation of this theorem in the type II1setting. Namely, we replace a doubly stochastic matrix with a collection of measure preserving partial isomorphisms, of the unit interval, with similar properties. We show that a weaker version of this theorem still hold
2017
Pubblicato
Rilevanza internazionale
Articolo
Esperti anonimi
Settore MAT/05 - ANALISI MATEMATICA
English
Paunescu, L., Radulescu, F. (2017). A generalisation to Birkhoff–von Neumann theorem. ADVANCES IN MATHEMATICS, 308, 836-858 [10.1016/j.aim.2016.12.031].
Paunescu, L; Radulescu, F
Articolo su rivista
File in questo prodotto:
File Dimensione Formato  
1-s2.0-S0001870815303327-paunescu_radulescu.pdf

solo utenti autorizzati

Licenza: Copyright dell'editore
Dimensione 471 kB
Formato Adobe PDF
471 kB Adobe PDF   Visualizza/Apri   Richiedi una copia

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2108/171168
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 1
  • ???jsp.display-item.citation.isi??? 1
social impact