TY - JOUR
T1 - A non-reflexive Banach space with all contractions mean ergodic
AU - Fonf, Vladimir P.
AU - Lin, Michael
AU - Wojtaszczyk, Przemyslaw
N1 - Funding Information:
Acknowledgements. The research was started during a visit of the third author to Ben-Gurion University, supported by the Center for Advanced Studies in Mathematics of Ben-Gurion University. The research was completed during a visit of the second author to the Institute of Mathematics of the Polish Academy of Sciences (IMPAN) in Warsaw, supported by the EU project TODEQ. The above authors are grateful for the support and hospitality of their hosts. The third author wishes to thank also the Foundation for Polish Science for its support.
PY - 2010/12/1
Y1 - 2010/12/1
N2 - We construct on any quasi-reflexive of order 1 separable real Banach space an equivalent norm, such that all contractions on the space and all contractions on its dual are mean ergodic, thus answering negatively a question of Louis Sucheston.
AB - We construct on any quasi-reflexive of order 1 separable real Banach space an equivalent norm, such that all contractions on the space and all contractions on its dual are mean ergodic, thus answering negatively a question of Louis Sucheston.
UR - http://www.scopus.com/inward/record.url?scp=80054870379&partnerID=8YFLogxK
U2 - 10.1007/s11856-010-0090-1
DO - 10.1007/s11856-010-0090-1
M3 - Article
AN - SCOPUS:80054870379
SN - 0021-2172
VL - 179
SP - 479
EP - 491
JO - Israel Journal of Mathematics
JF - Israel Journal of Mathematics
IS - 1
ER -