Completeness of ordered fields and a trio of classical series tests

DOI10.1155/2016/6023273zbMath1470.40003OpenAlexW2546531566WikidataQ59121544 ScholiaQ59121544MaRDI QIDQ1669251

Robert Kantrowitz, Michael M. Neumann

Publication date: 30 August 2018

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2016/6023273

Mathematics Subject Classification ID

Convergence and divergence of series and sequences (40A05) Sequence spaces (including Köthe sequence spaces) (46A45) Ordered fields (12J15)

Related Items (1)

The Character of Convergence of the Cauchy Product

Cites Work

• Would real analysis be complete without the fundamental theorem of calculus?
• More of Dedekind: his series test in normed spaces
• \(72+42\): characterizations of the completeness and Archimedean properties of ordered fields
• Real Analysis in Reverse
• Is every absolutely convergent series convergent?
• Another Face of the Archimedean Property
• Toward a More Complete List of Completeness Axioms
• Absolute Convergence in Ordered Fields
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