Open Access

# 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.

### 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)

I. V. Orlov

F. S. Stonyakin

### 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},
}