Strong compact properties of the mappings and K-Radon-Nikodym property

Abstract

For mappings acting from an interval into a locally convex space, we study properties of strong compact variation and strong compact absolute continuity connected with an expansion of the space into subspaces generated by the compact sets. A description of strong $K$-absolutely continuous mappings in terms of indefinite Bochner integral is obtained. A special class of the spaces having $K$-Radon-Nikodym property is obtained. A relation between the $K$-Radon-Nikodym property and the classical Radon-Nikodym property is considered.

Full Text

Article Information

Title	Strong compact properties of the mappings and K-Radon-Nikodym property
Source	Methods Funct. Anal. Topology, Vol. 16 (2010), no. 2, 183-196
MathSciNet	MR2667812
Copyright	The Author(s) 2010 (CC BY-SA)

Authors Information

I. V. Orlov
Taurida National V. Vernadsky University, 4, Vernadsky ave., Simpheropol, 95007, Ukraine

F. S. Stonyakin
Taurida National V. Vernadsky University, 4, Vernadsky ave., Simpheropol, 95007, Ukraine 

Citation Example

I. V. Orlov and F. S. Stonyakin, Strong compact properties of the mappings and K-Radon-Nikodym property, Methods Funct. Anal. Topology 16 (2010), no. 2, 183-196.

BibTex

@article {MFAT529,
    AUTHOR = {Orlov, I. V. and Stonyakin, F. S.},
     TITLE = {Strong compact properties of the mappings and K-Radon-Nikodym property},
   JOURNAL = {Methods Funct. Anal. Topology},
  FJOURNAL = {Methods of Functional Analysis and Topology},
    VOLUME = {16},
      YEAR = {2010},
    NUMBER = {2},
     PAGES = {183-196},
      ISSN = {1029-3531},
       URL = {http://mfat.imath.kiev.ua/article/?id=529},
}