ON THE ENTANGLED ERGODIC THEOREM
2007 ◽
Vol 10
(01)
◽
pp. 67-77
◽
Keyword(s):
Let U be a unitary operator acting on the Hilbert space [Formula: see text], and α: {1, …, m} ↦ {1, …, k} a partition of the set {1, …, m}. We show that the ergodic average [Formula: see text] converges in the weak operator topology if the Aj belong to the algebra of all the compact operators on [Formula: see text]. We write esplicitly the formula for these ergodic averages in the case of pair-partitions. Some results without any restriction on the operators Aj are also presented in the almost periodic case.
1982 ◽
Vol 25
(3)
◽
pp. 311-316
◽
Keyword(s):
2008 ◽
Vol 144
(1)
◽
pp. 97-108
◽
Keyword(s):
2010 ◽
Vol 432
(2-3)
◽
pp. 526-535
◽
2019 ◽
Vol 22
(02)
◽
pp. 1950013
Keyword(s):
1991 ◽
Vol 34
(2)
◽
pp. 260-264
◽
2017 ◽
Vol 39
(4)
◽
pp. 889-897
◽
2009 ◽
Vol 80
(1)
◽
pp. 83-90
◽