The Jordan decomposition in ordered normed spaces

DOI10.1007/s00009-022-02128-wzbMath1506.46024OpenAlexW4295073511MaRDI QIDQ2675949

Juan Alberto Escamilla Reyna, Roque Vidal Luciano-Gerardo, Daniela Rodríguez Tzompantzi, Francisco Javier Mendoza Torres, Tomás Pérez Becerra

Publication date: 26 September 2022

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-022-02128-w

zbMATH Keywords

vector-valued functionordered Banach spacedistributional Henstock-Kurzweil integral

Mathematics Subject Classification ID

Partial orders, general (06A06) Spaces of vector- and operator-valued functions (46E40) Functions of bounded variation, generalizations (26A45) Ordered normed spaces (46B40)

Cites Work

• On mappings of bounded variation
• The Jordan decomposition of bounded variation functions valued in vector spaces
• Almost interior points in ordered Banach spaces and the long-term behaviour of strongly positive operator semigroups
• On Definitions of Bounded Variation for Functions of Two Variables
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