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A general duality result for precompact sets
- Source :
- Indagationes Mathematicae. 1(4):409-415
- Publication Year :
- 1990
- Publisher :
- Elsevier BV, 1990.
-
Abstract
- In this paper we present an elementary proof of a general duality result for precompact sets which can be considered as a far-reaching generalization of a well-known result of Grothendieck on precompactness in dual systems. It is then shown that a number of known results can be deduced from it, amongst others a general form of the Arzela-Ascoli theorem and Grothendieck's duality theorem itself.
Details
- ISSN :
- 00193577
- Volume :
- 1
- Issue :
- 4
- Database :
- OpenAIRE
- Journal :
- Indagationes Mathematicae
- Accession number :
- edsair.doi.dedup.....810ded217fbd518a1fe022950ef9e0b1
- Full Text :
- https://doi.org/10.1016/0019-3577(90)90009-c