Abstract
We remind the reader that a chain in an ordered set is, by definition, a totally ordered subset, i.e., one in which any two elements are comparable. In its turn, the set of all chains is ordered by inclusion and satisfies the conditions of Zorn’s Lemma, which therefore guarantees the existence of maximal chains.
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© 1988 Birkhäuser Verlag Basel
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Belitskii, G.R., Lyubich, Y.I. (1988). Study of the Order Structure on the Set of Ring Norms. In: Matrix Norms and their Applications. Operator Theory: Advances and Applications, vol 36. Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-7400-7_4
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DOI: https://doi.org/10.1007/978-3-0348-7400-7_4
Publisher Name: Birkhäuser Basel
Print ISBN: 978-3-7643-2220-5
Online ISBN: 978-3-0348-7400-7
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