Compact variation, compact subdifferetiability and indefinite Bochner integral

Abstract

The notions of compact convex variation and compact convex subdifferential for the mappings from a segment into a locally convex space (LCS) are studied. In the case of an arbitrary complete LCS, each indefinite Bochner integral has compact variation and each strongly absolutely continuous and compact subdifferentiable a.e. mapping is an indefinite Bochner integral.

Full Text

Article Information

Title	Compact variation, compact subdifferetiability and indefinite Bochner integral
Source	Methods Funct. Anal. Topology, Vol. 15 (2009), no. 1, 74-90
MathSciNet	MR2502641
Copyright	The Author(s) 2009 (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, Compact variation, compact subdifferetiability and indefinite Bochner integral, Methods Funct. Anal. Topology 15 (2009), no. 1, 74-90.

BibTex

@article {MFAT471,
    AUTHOR = {Orlov, I. V. and Stonyakin, F. S.},
     TITLE = {Compact variation, compact subdifferetiability and indefinite Bochner integral},
   JOURNAL = {Methods Funct. Anal. Topology},
  FJOURNAL = {Methods of Functional Analysis and Topology},
    VOLUME = {15},
      YEAR = {2009},
    NUMBER = {1},
     PAGES = {74-90},
      ISSN = {1029-3531},
  MRNUMBER = {MR2502641},
       URL = {http://mfat.imath.kiev.ua/article/?id=471},
}