Metrics on Normed Structures

Michel Marie Deza and Elena Deza
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Michel Marie Deza: Ecole Normale Supérieure
Elena Deza: Moscow State Pedagogical University

Chapter Chapter 5 in Encyclopedia of Distances, 2016, pp 97-108 from Springer

Abstract: Abstract In this chapter we consider a special class of metrics defined on some normed structures, as the norm of the difference between two given elements. This structure can be a group (with a group norm), a vector space (with a vector norm or, simply, a norm), a vector lattice (with a Riesz norm), a field (with a valuation), etc.

Keywords: Hilbert Space; Triangle Inequality; Vector Space Versus; Riesz Space; Cardinality Measure (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-662-52844-0_5

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DOI: 10.1007/978-3-662-52844-0_5

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