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单词 ExamplesOfMetricSpaces
释义

examples of metric spaces


The aim of this entry is to list metric spaces that have astandard metric.

Distance on set

  • Euclidean metric on n and on open subsets of n,

  • Normed vector spacesPlanetmathPlanetmath,

  • Hausdorff metric on sets

  • Valuated field, i.e. a field and its valuation

Function spaces

  • Lp functionsMathworldPlanetmath (http://planetmath.org/LpSpace)

  • 𝒪(G); holomorphic functionsMathworldPlanetmath (http://planetmath.org/SpaceOfAnalyticFunctions)

  • 𝒮; theSchwartz spaceMathworldPlanetmath of rapidly decreasing functions (http://planetmath.org/SpaceOfRapidlyDecreasingFunctions)

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