On Supra-Additive and Supra-Multiplicative Maps

Article English OPEN
Chen, Jin Xi ; Chen, Zi Li (2013)
  • Publisher: Hindawi Publishing Corporation
  • Journal: Journal of Function Spaces and Applications (issn: 0972-6802, eissn: 1758-4965)
  • Related identifiers: doi: 10.1155/2013/108535
  • Subject: Mathematics | QA1-939 | Article Subject
    arxiv: Quantitative Biology::Subcellular Processes | Quantitative Biology::Neurons and Cognition | Physics::Plasma Physics

Let A and B be ordered algebras over ℝ, where A has a generating positive cone and B satisfies the property that b2>0 if 0≠b∈B. We give some conditions for a map T:A→B which is supra-additive and supra-multiplicative for all positive and negative elements to be linear a... View more
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