Hahn-Banach type extension theorems on p-operator spaces
نویسندگان
چکیده
منابع مشابه
Hahn-Banach extension theorems for multifunctions revisited
Several generalizations of the Hahn–Banach extension theorem to K-convex multifunctions were stated recently in the literature. In this note we provide an easy direct proof for the multifunction version of the Hahn–Banach–Kantorovich theorem and show that in a quite general situation it can be obtained from existing results. Then we derive the Yang extension theorem using a similar proof as wel...
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The first point here is that convex sets can be separated by linear functionals. Second, continuous linear functionals on subspaces of a locally convex topological vectorspace have continuous extensions to the whole space. Proofs are for real vectorspaces. The complex versions are corollaries. A crucial corollary is that on locally convex topological vectorspaces continuous linear functionals s...
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ژورنال
عنوان ژورنال: Operators and Matrices
سال: 2015
ISSN: 1846-3886
DOI: 10.7153/oam-09-40