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In mathematics, one normed vector space is said to be continuously embedded in another normed vector space if the inclusion function between them is continuous. In some sense, the two norms are "almost equivalent", even though they are not both defined on the same space. Several of the Sobolev embedding theorems are continuous embedding theorems.

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  • Continuous embedding (en)
  • Immersione continua (it)
  • 連続的埋め込み (ja)
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  • In mathematics, one normed vector space is said to be continuously embedded in another normed vector space if the inclusion function between them is continuous. In some sense, the two norms are "almost equivalent", even though they are not both defined on the same space. Several of the Sobolev embedding theorems are continuous embedding theorems. (en)
  • 数学において、あるノルム線型空間が他のノルム線型空間の連続的埋め込み（れんぞくてきうめこみ、英: continuous embedding）であるとは、それらの間の包含函数が連続であることを言う。ある意味、それらの二つのノルムは、同一の空間上でいずれも定義されないとしても「ほとんど同じ」ものである。ソボレフ埋蔵定理の内のいくつかは、連続的埋め込みの定理である。 (ja)
  • In matematica, un'immersione continua di uno spazio normato in un altro spazio normato avviene per mezzo di una funzione di inclusione continua tra i due spazi. Si dice che il primo spazio è immerso continuamente o con continuità nel secondo. Diversi teoremi di immersione di Sobolev sono teoremi di immersione continua. (it)
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  • In mathematics, one normed vector space is said to be continuously embedded in another normed vector space if the inclusion function between them is continuous. In some sense, the two norms are "almost equivalent", even though they are not both defined on the same space. Several of the Sobolev embedding theorems are continuous embedding theorems. (en)
  • 数学において、あるノルム線型空間が他のノルム線型空間の連続的埋め込み（れんぞくてきうめこみ、英: continuous embedding）であるとは、それらの間の包含函数が連続であることを言う。ある意味、それらの二つのノルムは、同一の空間上でいずれも定義されないとしても「ほとんど同じ」ものである。ソボレフ埋蔵定理の内のいくつかは、連続的埋め込みの定理である。 (ja)
  • In matematica, un'immersione continua di uno spazio normato in un altro spazio normato avviene per mezzo di una funzione di inclusione continua tra i due spazi. Si dice che il primo spazio è immerso continuamente o con continuità nel secondo. Diversi teoremi di immersione di Sobolev sono teoremi di immersione continua. (it)
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