Compact Variation, Compact Subdifferetiability and Indefinite Bochner Integral

• Date: 2009
• Main Authors: Orlov, I.V., Stonyakin, F.S.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2009
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/5697
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Compact variation, compact subdifferentiability and indefinite Bochner integral / I.V. Orlov, F.S. Stonyakin // Methods of Functional Analysis and Topology. — 2009. — Т. 15, № 1. — С. 74-90. — Бібліогр.: 24 назв. — англ.

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 compa...