Functor of semiadditive functionals

Authors

  • G. F. Djabbarov Institute of Mathematics, Uzbekistan Academy of Science, 29 F. Hodjaev, Tashkent, 700143, Uzbekistan
  • D. E. Davletov Institute of Mathematics, Uzbekistan Academy of Science, 29 F. Hodjaev, Tashkent, 700143, Uzbekistan

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Keywords:

Abstract

In the present paper we describe semiadditive functionals and establish that the construction generated by semiadditive functionals forms a covariant functor. We show that the functor of semiadditive functionals is a normal functor acting in category of compact sets.

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Published

2008-12-25

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Section

Articles

How to Cite

Djabbarov, G. F., and D. E. Davletov. “Functor of Semiadditive Functionals”. Methods of Functional Analysis and Topology, vol. 14, no. 4, Dec. 2008, pp. 314-22, https://zen.imath.kiev.ua/index.php/mfat/article/view/394.