The Dual of L (X,L, ), Finitely Additive Measures and Weak Convergence

A Primer (Sprache: Englisch)
 
 
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In measure theory, a familiar representation theorem due to F. Riesz identifies the dual space L p (X,L, ) with L q (X,L, ), where 1/p+1/q=1, as long as 1 p< . However, L (X,L, ) cannot be similarly described, and is instead represented as a class of...
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In measure theory, a familiar representation theorem due to F. Riesz identifies the dual space L p (X,L, ) with L q (X,L, ), where 1/p+1/q=1, as long as 1 p< . However, L (X,L, ) cannot be similarly described, and is instead represented as a class of...

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