Extremals and exposed faces of the cone of positive maps

Autor:	Richard D. Hill, David A. Yopp
Rok vydání:	2005
Předmět:	Combinatorics Matrix (mathematics) Algebra and Number Theory Cone (topology) Rank (differential topology) Mathematics
Zdroj:	Linear and Multilinear Algebra. 53:167-174
ISSN:	1563-5139 0308-1087
DOI:	10.1080/03081080412331272500
Popis:	We show that for a matrix A of size n × m, the maps are extremals of the cone of positive maps acting . When the rank of A equals 1 or m (in which case, necessarily m ≤ n), we show that these extremals are exposed.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::129c49bfcf4e975572d89361a2a2f3bf https://doi.org/10.1080/03081080412331272500 Zobrazit plný text záznamu