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Weak sequential convergence in Lp(μ, X)

✍ Scribed by Nicholas C Yannelis


Publisher
Elsevier Science
Year
1989
Tongue
English
Weight
612 KB
Volume
141
Category
Article
ISSN
0022-247X

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📜 SIMILAR VOLUMES


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For a finite and positive measure space \((\Omega, \Sigma, \mu)\) characterization of relatively weakly compact sets in \(L_{\infty}(\mu, X)\) the space of \(\mu\)-essentially bounded vector valued functions \(f: \Omega \rightarrow X\) are presented. Application to Banach space theory is given. C 19

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The weak convergence of the empirical process of strong mixing or associated random variables is studied in LP(0, 1 ). We find minimal rates of convergence to zero of the mixing coefficients or the covariances, in either case, supposing stationarity of the underlying variables. The rates obtained im