On a theorem by I. Glicksberg

Allen Nussbaum

Type: Article

Publication Date: 1962-01-01

Citations: 0

DOI: https://doi.org/10.1090/s0002-9939-1962-0138721-7

Abstract

If X is a compact space we denote by C(X) the Banach space of all continuous complex valued functions on X with respect to the norm llfll-supxGx If(x)I. Grothendieck [2, Theorem 5] has shown that a bounded subset of C(X) is compact in the weak topology if and only if it is compact in the topology of pointwise convergence on X. Using an extension of this theorem I. Glicksberg [1, Theorem 1.2] recently proved

Locations

Proceedings of the American Mathematical Society - View - PDF

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Works That Cite This (0)

Action	Title	Year	Authors

Works Cited by This (1)

Action	Title	Year	Authors
+ PDF Chat	Weak compactness and separate continuity	1961	Irving Glicksberg