Characterizing weak compactness
β Scribed by Lee J. Stanley
- Publisher
- Elsevier Science
- Year
- 1984
- Tongue
- English
- Weight
- 706 KB
- Volume
- 26
- Category
- Article
- ISSN
- 0168-0072
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## Abstract We construct a model in which the strongly compact cardinals can be nonβtrivially characterized via the statement β__ΞΊ__ is strongly compact iff __ΞΊ__ is a measurable limit of strong cardinalsβ. If our ground model contains large enough cardinals, there will be supercompact cardinals in
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