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Weak Compactness in L∞ (μ, X)

✍ Scribed by G. Schluchtermann

Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
373 KB
Volume
125
Category
Article
ISSN
0022-1236

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✦ Synopsis

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 1994 Academic Press, Inc

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