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An analogue of
Liapounoff’s convexity theorem for Birnbaum-Orlicz spaces and
the extreme points of their unit balls
Irving Leonard Glicksberg |
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Vol. 116 (1985), No. 2, 265–283
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Abstract |
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Let (X,S,μ) be a non-atomic probability space. Our purpose is to note an analogue of Liapounoff’s convexity theorem, as a statement about L∞(μ), for certain real Birnbaum-Orlicz spaces LΦ(μ), in particular reflexive ones, under the usual norms: the extreme points of the unit ball yield the full image of the ball under finite dimensional continuous linear maps. |
Mathematical Subject Classification 2000
Primary: 46E30
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Milestones
Received: 25 May 1983
Published: 1 February 1985
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Authors |
| Irving Leonard Glicksberg | |
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