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- mathematische Funktion (de)
- Type of function in linear algebra (en)
- typ funkcjonału (pl)
- aplicación topológica con solo algunas de las propiedades de una seminorma (es)
- פונקציונל ממשי תת-חיבורי הומוגני חיובי (iw)
- класс числовых функций, для которых выполняются свойства линейной однородности и субаддитивности (ru)
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- If be a sublinear function on a real vector space and if then there exists a linear functional on that is dominated by and satisfies
Moreover, if is a topological vector space and is continuous at the origin then is continuous. (en)
- Suppose is a subadditive function .
Then is continuous at the origin if and only if is uniformly continuous on
If satisfies then is continuous if and only if its absolute value is continuous.
If is non-negative then is continuous if and only if is open in (en)
- Suppose that is a topological vector space over the real or complex numbers.
Then the open convex subsets of are exactly those that are of the form for some and some positive continuous sublinear function on (en)
- If is a convex open neighborhood of the origin in a topological vector space then the Minkowski functional of is a continuous non-negative sublinear function on such that if in addition is a balanced set then is a seminorm on (en)
- Suppose is a sublinear functional on a vector space and that is a non-empty convex subset.
If is a vector and are positive real numbers such that
then for every positive real there exists some such that (en)
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- Sublinear function (en)
- Sublineare Funktion (de)
- Application sous-linéaire (fr)
- Funzione sublineare (it)
- Funkcja podliniowa (pl)
- Сублинейная функция (ru)
- Сублінійна функція (uk)
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