TY - JOUR
T1 - Representations of Banach algebras as algebras of completely bounded maps
AU - Oikhberg, Timur
PY - 2009
Y1 - 2009
N2 - We use the notion of Π2-hyperreflexivity to construct, for a wide variety of Banach algebras A, an operator space X and a representation π: A → CB(X), such that CB(X) consists of 2-summing perturbations of π(A). This gives rise to some examples of operator spaces with interesting properties.
AB - We use the notion of Π2-hyperreflexivity to construct, for a wide variety of Banach algebras A, an operator space X and a representation π: A → CB(X), such that CB(X) consists of 2-summing perturbations of π(A). This gives rise to some examples of operator spaces with interesting properties.
UR - http://www.scopus.com/inward/record.url?scp=70349640322&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=70349640322&partnerID=8YFLogxK
U2 - 10.7146/math.scand.a-15108
DO - 10.7146/math.scand.a-15108
M3 - Article
AN - SCOPUS:70349640322
SN - 0025-5521
VL - 105
SP - 99
EP - 120
JO - Mathematica Scandinavica
JF - Mathematica Scandinavica
IS - 1
ER -