Let G be an additive subgroup of a normed space X. We say that a point $$x\in X\setminus G$$ is weakly separated (resp. $$\mathcal P$$ -separated) from G if it can be separated from G by a continuous character (resp. by a continuous positive definite function). Let T : X → Y be a continuous linear operator. Consider the following conditions:
Positivity – Springer Journals
Published: Jan 11, 2008
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