Compact variation, compact subdifferetiability and indefinite Bochner integral

Authors

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

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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.

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Published

2009-03-25

Issue

Vol. 15 No. 1 (2009)

Section

Articles

How to Cite

Stonyakin, F. S., and I. V. Orlov. “Compact Variation, Compact Subdifferetiability and Indefinite Bochner Integral”. Methods of Functional Analysis and Topology, vol. 15, no. 1, Mar. 2009, pp. 74-90, https://zen.imath.kiev.ua/index.php/mfat/article/view/411.