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The Jordan Decomposition in Ordered Normed Spaces

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Abstract

In this paper, we give some conditions over an ordered normed space such that the Jordan decomposition of a vector-valued bounded variation function holds.

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Authors and Affiliations

  1. Instituto de Física y Matemáticas, Universidad Tecnológica de la Mixteca, Km. 2.5 Carretera a Acatlima, 69000, Huajuapan de León, Oaxaca, Mexico

    Tomás Pérez-Becerra

  2. Facultad de Ciencias Físico Matemáticas, Benemérita Universidad Autónoma de Puebla, Av. San Claudio and 18 Sur, 72570, Puebla, Puebla, Mexico

    Juan Alberto Escamilla-Reyna, Roque Vidal Luciano-Gerardo & Francisco J. Mendoza-Torres

  3. Departamento Actuaría, Física y Matemáticas, Universidad de las Américas Puebla, Ex-Hacienda Santa Catarina Mártir S/N, 72810, San Andrés Cholula, Puebla, Mexico

    Daniela Rodríguez-Tzompantzi

Authors
  1. Tomás Pérez-Becerra
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  2. Juan Alberto Escamilla-Reyna
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  3. Roque Vidal Luciano-Gerardo
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  4. Francisco J. Mendoza-Torres
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  5. Daniela Rodríguez-Tzompantzi
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Corresponding author

Correspondence to Tomás Pérez-Becerra.

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The first author was supported by the Technological University of the Mixteca. The third author thanks CONACYT for having granted him a scholarship to carry out his Ph.D. studies.

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Pérez-Becerra, T., Escamilla-Reyna, J.A., Luciano-Gerardo, R.V. et al. The Jordan Decomposition in Ordered Normed Spaces. Mediterr. J. Math. 19, 215 (2022). https://doi.org/10.1007/s00009-022-02128-w

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  • DOI: https://doi.org/10.1007/s00009-022-02128-w

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