The Kolmogorov–Riesz compactness theorem
By H. Hanche-Olsen, Helge Holden. 2009
231 citations recorded by the source corpus.
Abstract We show that the Arzela–Ascoli theorem and Kolmogorov compactness theorem both are consequences of a simple lemma on compactness in metric spaces. Their relation to Helly's theorem is discussed. The paper contains a detailed discussion on the historical background of the Kolmogorov compactness theorem.
Subfields: Computational Theory and Mathematics, Discrete Mathematics and Combinatorics, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/83b64daae7cbe709d69fd1fdb79001c8a7f6b702
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In Computational Theory and Mathematics
In Mathematical Physics
Citations in the corpus
- Weighted estimates for Beltrami equations (2011, background): “Theorem 5 is proved by adapting the arguments in [6].”