TY - JOUR
T1 - Weak amenability components of L1(G)-modules, amenable groups, and an ergodic theorem
AU - Myasnikov, A. G.
PY - 1999
Y1 - 1999
N2 - Weak versions of amenability components of Banach L1(G)-modules are considered. Using these versions, a mean ergodic theorem for locally compact groups is formulated. The possibility of using weak amenability components of operator L1(G) -modules to characterize amenable groups is studied.
AB - Weak versions of amenability components of Banach L1(G)-modules are considered. Using these versions, a mean ergodic theorem for locally compact groups is formulated. The possibility of using weak amenability components of operator L1(G) -modules to characterize amenable groups is studied.
KW - Amenability component
KW - Amenable group
KW - Locally compact group
KW - Topologically left invariant mean
UR - http://www.scopus.com/inward/record.url?scp=27544448020&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=27544448020&partnerID=8YFLogxK
U2 - 10.1007/bf02674330
DO - 10.1007/bf02674330
M3 - Article
AN - SCOPUS:27544448020
SN - 0001-4346
VL - 66
SP - 726
EP - 732
JO - Mathematical Notes of the Academy of Sciences of the USSR
JF - Mathematical Notes of the Academy of Sciences of the USSR
IS - 5-6
ER -