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  • 标题:The spaces OM and OC are ultrabornological a new proof
  • 本地全文:下载
  • 作者:Jan Kucera
  • 期刊名称:International Journal of Mathematics and Mathematical Sciences
  • 印刷版ISSN:0161-1712
  • 电子版ISSN:1687-0425
  • 出版年度:1985
  • 卷号:8
  • 期号:4
  • 页码:813-816
  • DOI:10.1155/S0161171285000904
  • 出版社:Hindawi Publishing Corporation
  • 摘要:

    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.

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