The spaces O M and O C are ultrabornological a new proof

Jan Kucera

International Journal of Mathematics and Mathematical Sciences, 1985, vol. 8, 1-4

Abstract:

In [1] Laurent Schwartz introduced the spaces 𝒪 M and 𝒪 ′ C of multiplication and convolution operators on temperate distributions. Then in [2] Alexandre Grothendieck used tensor products to prove that both 𝒪 M and 𝒪 ′ C are bornological. Our proof of this property is more constructive and based on duality.

Date: 1985
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:924289

DOI: 10.1155/S0161171285000904

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