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In linear algebra, functional analysis and related areas of mathematics, a quasinorm is similar to a norm in that it satisfies the norm axioms, except that the triangle inequality is replaced by : for some This is not to be confused with a seminorm or pseudonorm, where the norm axioms are satisfied except for positive definiteness. == Related concepts == A vector space with an associated quasinorm is called a quasinormed vector space. A complete quasinormed vector space is called a quasi-Banach space. A quasinormed space is called a quasinormed algebra if the vector space ''A'' is an algebra and there is a constant ''K'' > 0 such that : for all . A complete quasinormed algebra is called a quasi-Banach algebra. 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「quasinorm」の詳細全文を読む スポンサード リンク
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