Krein–Smulian theorem

In mathematics, particularly in functional analysis, the Krein-Smulian theorem can refer to two theorems relating the closed convex hull and compactness in the weak topology. They are named after Mark Krein and Vitold Shmulyan, who published them in 1940.

Statement

Both of the following theorems are referred to as the Krein-Smulian Theorem.

See also

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Bibliography

• Template:Conway A Course in Functional Analysis
• Template:Narici Beckenstein Topological Vector Spaces
• Template:Rudin Walter Functional Analysis
• Template:Schaefer Wolff Topological Vector Spaces
• Template:Trèves François Topological vector spaces, distributions and kernels

Further reading

• https://www.math.ias.edu/~lurie/261ynotes/lecture12.pdf

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