Sur les applications linéaires faiblement compactes d'espaces du type \(C(K)\).¶
Grothendieck, A. (1953). Sur les applications linéaires faiblement compactes d'espaces du type $C(K)$. Canadian Journal of Mathematics, 129-173.
Cited by¶
1 citation across 1 artifact.
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Domain-specific¶
- Grothendieck Space
- Grothendieck's 1953 work established the property for $C(K)$ when $K$ is compact and Stonean (extremally disconnected), hence for $\ell_\infty=C(\beta\mathbb N)$; these spaces need not be reflexive.
This sourcePrimary source for the weak-compactness theory and the Stonean $C(K)$ result from which the named property developed.
- Grothendieck's 1953 work established the property for $C(K)$ when $K$ is compact and Stonean (extremally disconnected), hence for $\ell_\infty=C(\beta\mathbb N)$; these spaces need not be reflexive.
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