Hahn—Banach and Banach Open Mapping Theorems
Part of the Canadian Mathematical Society / Société mathématique du Canada book series (CMSBM)
A real-valued function p on a vector space X is called a positively homogeneous sublinear functional if for all x, y ϵ X and α ≥ 0 it satisfies
$$p(\alpha x) = \alpha p(x)\;\;and\;\;p(x + y) \leqslant p(x) + p(y)$$
KeywordsBanach Space Normed Space Open Mapping Bounded Linear Operator Closed Subspace
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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© Springer Science+Business Media New York 2001