Weak Compactness in L∞ (μ, X)
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G. Schluchtermann
📂
Article
📅
1994
🏛
Elsevier Science
🌐
English
⚖ 373 KB
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