错误:搜索内容不能为空,请输入英文关键词
错误:关键词超出字数限制,请精简
高级检索

Compact Sets and Operators

  • Volodymyr Brayman,
  • Andrii Chaikovskyi,
  • Oleksii Konstantinov,
  • Alexander Kukush,
  • Yuliya Mishura,
  • Oleksii Nesterenko

摘要

Precompact and compact sets in the metric spaces are introduced, together with the notion of compact operator. Hausdorff criterion and Ascoli-Arzelà theorem are formulated. Problems explain how to establish or controvert the compactness.