Invariant subspace theorems for amenable groups
1989 ◽
Vol 32
(3)
◽
pp. 415-430
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Keyword(s):
In [5], Ky Fan proved the following remarkable amenability “invariant subspace” theorem:Let G be an amenable group of continuous, invertible linear operators acting on a locally convex space E. Let H be a closed subspace of finite codimension n in E and X⊂E be such that:(i) H and X are G-invariant;(ii) (e + H) ∩X is compact convex for all e ∈ E;(iii) X contains an n-dimensional subspace V of E. Then there exists an n-dimensional subspace of E contained in X and invariant under G.
Keyword(s):
1981 ◽
Vol 89
(1)
◽
pp. 129-133
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2002 ◽
Vol 131
(3)
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pp. 825-834
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1970 ◽
Vol 17
(2)
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pp. 121-125
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Keyword(s):
2000 ◽
Vol 61
(1)
◽
pp. 11-26
Keyword(s):
2015 ◽
Vol 73
(2)
◽
pp. 433-441
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2005 ◽
Vol 54
(1)
◽
pp. 257-262
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1988 ◽
Vol 30
(1)
◽
pp. 11-15
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2003 ◽
Vol 2003
(61)
◽
pp. 3841-3871
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