TY - JOUR
T1 - On a question of Kazhdan and Yom Din
T2 - With an Appendix by Nicolas Monod
AU - Glasner, Eli
N1 - Publisher Copyright:
© 2022, The Hebrew University of Jerusalem.
PY - 2022/12
Y1 - 2022/12
N2 - Studying a question of Kazhdan and Yom Din we first prove some fixed point theorems for linear actions of a discrete countable group G on a dual Banach space V*, and then show that the answer to the question in full generality is in the negative. In an appendix it is shown that the answer is negative also for the Banach space B(H) of bounded linear operators on an infinite-dimensional Hilbert space.
AB - Studying a question of Kazhdan and Yom Din we first prove some fixed point theorems for linear actions of a discrete countable group G on a dual Banach space V*, and then show that the answer to the question in full generality is in the negative. In an appendix it is shown that the answer is negative also for the Banach space B(H) of bounded linear operators on an infinite-dimensional Hilbert space.
UR - http://www.scopus.com/inward/record.url?scp=85145371853&partnerID=8YFLogxK
U2 - 10.1007/s11856-022-2427-y
DO - 10.1007/s11856-022-2427-y
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AN - SCOPUS:85145371853
SN - 0021-2172
VL - 251
SP - 467
EP - 493
JO - Israel Journal of Mathematics
JF - Israel Journal of Mathematics
IS - 2
ER -