TY - JOUR
AU - 허재성
DA - 2013/01
PY - 2013
UR - http://koreascience.or.kr/article/ArticleFullRecord.jsp?cn=DBSHBB_2013_v50n1_61
UR - http://hdl.handle.net/20.500.11754/41441
AB - In this paper, we study alpha-completely positive maps between locally C*-algebras. As a generalization of a completely positive map, an a-completely positive map produces a Krein space with indefinite metric, which is useful for the study of massless or gauge fields. We construct a KSGNS type representation associated to an a-completely positive map of a locally C*-algebra on a Krein locally C*-module. Using this construction, we establish the Radon-Nikodym type theorem for alpha-completely positive maps on locally C*-algebras. As an application, we study an extremal problem in the partially ordered cone of a-completely positive maps on a locally C*-algebra.
PB - Korean Mathematical SOC
KW - locally C*-algebra
KW - Hilbert locally C*-module
KW - alpha-completely positive map
KW - J-representation
KW - Krein module
KW - minimal Krein quadruple
KW - non-commutative Radon-Nikodym theorem
KW - STAR-ALGEBRAS
KW - TENSOR-PRODUCTS
KW - HILBERT MODULES
KW - INVERSE LIMITS
TI - alpha-COMPLETELY POSITIVE MAPS ON LOCALLY C*-ALGEBRAS, KREIN MODULES AND RADON-NIKODYM THEOREM
IS - 1
VL - 50
DO - 10.4134/JKMS.2013.50.1.061
T2 - JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY
ER -