Functor of semiadditive functionals

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.

Full Text

Article Information

Title	Functor of semiadditive functionals
Source	Methods Funct. Anal. Topology, Vol. 14 (2008), no. 4, 314-322
MathSciNet	MR2469070
Copyright	The Author(s) 2008 (CC BY-SA)

Authors Information

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

G. F. Djabbarov
Institute of Mathematics, Uzbekistan Academy of Science, 29 F. Hodjaev, Tashkent, 700143, Uzbekistan

Citation Example

D. E. Davletov and G. F. Djabbarov, Functor of semiadditive functionals, Methods Funct. Anal. Topology 14 (2008), no. 4, 314-322.

BibTex

@article {MFAT420,
    AUTHOR = {Davletov, D. E. and Djabbarov, G. F.},
     TITLE = {Functor of semiadditive functionals},
   JOURNAL = {Methods Funct. Anal. Topology},
  FJOURNAL = {Methods of Functional Analysis and Topology},
    VOLUME = {14},
      YEAR = {2008},
    NUMBER = {4},
     PAGES = {314-322},
      ISSN = {1029-3531},
  MRNUMBER = {MR2469070},
       URL = {http://mfat.imath.kiev.ua/article/?id=420},
}