About: Seminorm

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Nonnegative-real-valued function on a real or complex vector space that satisfies the triangle inequality and is absolutely homogenous

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dbo:description
  • מושג מתמטי (iw)
  • nonnegative-real-valued function on a real or complex vector space that satisfies the triangle inequality and is absolutely homogenous (en)
  • função que associa cada vetor de um espaço vetorial em um número real não negativo (pt)
  • nenegativrealvalora funkcio sur reela aŭ kompleksa vektora spaco, kiu estas absolute homogena kaj plenumas la triangulan neegalaĵon (eo)
  • обобщение понятия нормы (ru)
  • absolut homogene, subadditive, nicht-negative Funktion (de)
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dbp:em
  • 1.500000 (xsd:double)
dbp:mathStatement
  • If is a vector subspace of is a seminorm on and is a seminorm on such that then there exists a seminorm on such that and (en)
dbp:name
  • Theorem (en)
dbp:note
  • Extending seminorms (en)
dbp:text
  • Suppose that is a quasi-seminorm on a vector space with multiplier If then there exists -seminorm on equivalent to (en)
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rdfs:label
  • Seminorm (en)
  • Halbnorm (de)
  • Seminorma (es)
  • Semi-norme (fr)
  • 半ノルム (ja)
  • Seminorma (it)
  • Seminorma (pt)
  • Полунорма (ru)
  • Напівнорма (uk)
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