A Banach-Zarecki theorem for functions with values in Banach spaces

DOI10.1007/S00605-014-0609-3zbMath1310.28009OpenAlexW2111150528MaRDI QIDQ478498

Sokol Bush Kaliaj

Publication date: 3 December 2014

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-014-0609-3

zbMATH Keywords

bounded variationBanach spaceMinkowski functionalBanach-Zarecki theoremproperty (N)strong absolute continuity

Mathematics Subject Classification ID

Vector-valued set functions, measures and integrals (28B05) Vector-valued measures and integration (46G10) Monotonic functions, generalizations (26A48) Functions of bounded variation, generalizations (26A45) Absolutely continuous real functions in one variable (26A46) Calculus of functions taking values in infinite-dimensional spaces (26E20)

Cites Work

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• Real functions - current topics
• The differentiability of Banach space-valued functions of bounded variation
• On Denjoy type extensions of the Pettis integral
• Pettis integral and measure theory
• The Banach-Zarecki theorem for functions with values in metric spaces
• On Absolutely Continuous Functions

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