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.
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© 2016 Springer-Verlag Berlin Heidelberg
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Deza, M.M., Deza, E. (2016). Metrics on Normed Structures. In: Encyclopedia of Distances. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-52844-0_5
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DOI: https://doi.org/10.1007/978-3-662-52844-0_5
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-662-52843-3
Online ISBN: 978-3-662-52844-0
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