Ergodic theorems for semifinite von Neumann algebras: II
1980 ◽
Vol 88
(1)
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pp. 135-147
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Keyword(s):
The Mean
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In (7) we proved maximal and pointwise ergodic theorems for transformations a of a von Neumann algebra which are linear positive and norm-reducing for both the operator norm ‖ ‖∞ and the integral norm ‖ ‖1 associated with a normal trace ρ on . Here we introduce a class of Banach spaces of unbounded operators, including the Lp spaces defined in (6), in which the transformations α reduce the norm, and in which the mean ergodic theorem holds; that is the averagesconverge in norm.
2020 ◽
Vol 23
(02)
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pp. 2050013
1981 ◽
Vol 89
(3)
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pp. 405-411
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Keyword(s):
2014 ◽
Vol 17
(01)
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pp. 1450003
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2010 ◽
Vol 82
(2)
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pp. 205-210
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1987 ◽
Vol 39
(1)
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pp. 74-99
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1989 ◽
Vol 41
(5)
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pp. 882-906
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2008 ◽
Vol 78
(1)
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pp. 87-95
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1978 ◽
Vol 84
(1)
◽
pp. 47-56
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Keyword(s):
1982 ◽
Vol 86
(4)
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pp. 605
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