Almost transitivity of some function spaces
1994 ◽
Vol 116
(3)
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pp. 475-488
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Keyword(s):
AbstractThe almost transitive norm problem is studied for Lp (μ, X), C(K, X) and for certain Orlicz and Musielak-Orlicz spaces. For example if p ≠ 2 < ∞ then Lp (μ) has almost transitive norm if and only if the measure μ is homogeneous. It is shown that the only Musielak-Orlicz space with almost transitive norm is the Lp-space. Furthermore, an Orlicz space has an almost transitive norm if and only if the norm is maximal. Lp (μ, X) has almost transitive norm if Lp(μ) and X have. Separable spaces with non-trivial Lp-structure fail to have transitive norms. Spaces with nontrivial centralizers and extreme points in the unit ball also fail to have almost transitive norms.
1993 ◽
Vol 36
(2)
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pp. 173-177
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Keyword(s):
2012 ◽
Vol 2012
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pp. 1-21
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Keyword(s):
2003 ◽
Vol 74
(1)
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pp. 5-18
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Keyword(s):
1992 ◽
Vol 112
(1)
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pp. 183-194
1992 ◽
Vol 44
(3)
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pp. 505-515
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Keyword(s):
Keyword(s):
2018 ◽
Vol 461
(1)
◽
pp. 378-400
1968 ◽
Vol 19
(4)
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pp. 821-821
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